Lydia invested $8,300 in an account paying an interest rate of 2.2% compounded
daily. Assuming no deposits or withdrawals are made, how long would it take, to the
nearest tenth of a year, for the value of the account to reach $12,690?

Answers

Answer 1

Number of years taken to reach the amount of $12,690 is 5 days,

What is Compound interest?

Compound interest is the interest which is calculated on both the initial principal and the accumulated interest from previous periods. It can be easily understood as interest on interest.

                              [tex]A= P(1+\frac{r}{n})} ^{nt}[/tex]

Principal amount invested by Lydia = $8,300

Rate of compound interest per day =2.2%

To find the number of years that have taken to reach the amount value of $12,690 .

By using compound interest formula,

[tex]A= P(1+\frac{r}{n})} ^{nt}[/tex]

[tex]12690 = 8300(1+ \frac{2.2}{365})^(365*t)[/tex]

[tex]\frac{12690}{8300}=(1.000060274)^{365*t}[/tex]

Taking log on both sides, we get,

log(1.5289156627) =365*t log(1.000060274)

log(1.5289156627)/log(1.000060274)= 365*t/log(1.000060274)⇒

0.184383 - 0.00002618= 365*t

⇒1843.5 =365*t

⇒t=5 days.

Hence, number of years taken to reach the amount of $12,690 is 5 days,

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Related Questions

I need help
With this I will mark you if your awnser is right

Answers

Answer:

[tex]\boxed {\sf Equation: 60 \textdegree +4x= 180 \textdegree} \\[/tex]

[tex]\boxed {\sf x=30}[/tex]

Step-by-step explanation:

The interior angles of a triangle must add to 180 degrees.

In this triangle, the angles are A, B , and C. So,

∠A + ∠B + ∠C= 180°

∠A is 60 degrees, ∠B is 3x, and ∠C is x. We can substitute the values in.

60°+3x+x=180°

This is the equation we can use to find the value of x.

We also have like terms: 3x and x that can be combined.

60° + (3x+x)= 180° 60° + 4x=180°

We can use the equation to solve for x. We have to isolate the variable.

60 is being added to 4x. The inverse of addition is subtraction. Subtract 60 from both sides of the equation.

60°-60°+4x=180°-60°4x= 180°-60°4x=120°

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

4x/4= 120°/4x= 120°/4 x=30

pleaseeeeee helppppppppppp

Answers

Ok so we have the first portion. We need to do cross multiplication first. So that would be 20(2x - 9) and 10(9)

So
20(2x - 9)=90
40x - 180=90
Then add 180 to itself then to 90
40x=270
X=6.75

Now let’s set the next one up knowing what we know from the previous one.

18(3x + 4)= 12(15)
54x + 72=180
Subtract 72 from it’s self and 180
54x=108
X=2

find slopes , ill mark brainlist

Answers

Answer:

[tex]\frac{3}{2}[/tex] [tex]or[/tex] [tex]1\frac{1}{2}[/tex]

Step-by-step explanation:

We are given a graph and asked to find the slope.

So we can see two coordinate points, one on (0, 3) and (2, 0).

When trying to find slope, we use the method rise over run, which basically means y over x as a fraction, in which you then divide.

So count how many times it'll take for x to get to y, base it off the picture below

Since we see our numbers to be divided are 3 over 2, do the division and you get 1 1/2.

Would this be negative though? No, since the graph is in an increase, not a decrease.

For what value of x is the following expression
sinx
undefined for Os x <211?
1+COS X

Answers

Answer:

ti 5

Step-by-step explanation:

its 5

Laura creates a rectangular prism with wooden cubes. Each cube has an edge length of 3/4 inch. she uses a total of 240 cubes. the cubes are stacked 8 cubes high. What are the possible measurements for the length and width of the rectangular prism in inches.
Enter each measurement on a separate line.

Answers

Answer:

Step-by-step explanation:

Oo.24

(312) 9 = 3. (9.12)
O A. True
O B. False

Answers

Answer:

False

Step-by-step explanation:

Since rounding 312 to the nearest hundred will be 300 and not 3 and rounding 9.12 to the nearest one is 9

and 300≠9

In A QRS, ZRTQ - STR.
R
S
Which relationship proves that ZQRS is a right angle?

Answers

Answer:

A

Step-by-step explanation:

hhjjjjkkkdaa vhjkkjddgj hjkjcgh

What is the y-intercept of y=2/3x+2

Answers

Answer:

(0,2)  

Step-by-step explanation:

The linear equation is mx+b=y.

m=slope

x= x coordinates

b=y intercept

y=y coordinates

In this case 2 is the y intercept.

Answer:

Y-intercepts: (0,2) so I'm pretty sure your answer is 2.

Step-by-step explanatio

what is slope of y=-x+7

Answers

Answer:

y = mx + b

because there is no number in front of the x we automatically assume the answer is 1

so the slope for the equation y = -x + 7 is -1

slope is -1

Step-by-step explanation:

if thats wrong then the slope is 1

hope this helps:)

What is 8/9 divide 4

Answers

Answer: 8/9 divided by 4 is 2/9.

Step-by-step explanation: If you want to divide fractions, first you need to find the reciprocal of the second term. The reciprocal is when you swap the numerator and the denominator. The reciprocal of 4 is 1/4. Then, you multiply 8/9 is 1/4. 8 x 1 is 8, and 9 x 4 is 36. The answer is 8/36, which you can simplify into 2/9.

The value of the expression (8/9)÷4 is (8/9)×1/4.

What is PEMDAS rule?

PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.

Given, A fraction 8/9 and it is being divided by 4.

∴ (8/9)÷4.

= (8/9)×1/4.  (think of flipping the divisor to make it a multiplier)

= 32/9

Or

3 whole 5/9.

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Which of the following is a geometric sequence ?

Answers

Answer:

A, C and D is correct I know It

Please help. Find the value of x. Round to
the nearest tenth.
Enter the number that belongs in
the green box

Answers

Answer:

[tex]x =13.7[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find x

The relationship between x, 47 and [tex]17^{\circ}[/tex] is:

[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]

i.e.

[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

Solving further:

[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]

Make x the subject

[tex]x = 47 * sin(17^{\circ})[/tex]

[tex]x = 47 * 0.2924[/tex]

[tex]x =13.7428[/tex]

[tex]x =13.7[/tex] --- approximated

Your car can drive 300 miles on a tank of 11 gallons. Your car gets
to the hundredths place.
mpg. Round

Answers

Answer: 0.04

Step-by-step explanation:

11 gallons divided by 300 miles

11 /. 300 = 0.36666667

= 0.04

HELP NOW PLEASSEE ! Find the mean absolute deviation

Answers

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

I need help with number 9, plz help me

Answers

i can’t see the whole question, so i tried to answer as much as i could think of

CAn you help witht this fast!

Answers

Answer: 150% sugar

Step-by-step explanation: Make a proportion.

150% sugar sorry if I’m wrong

Click and drag like terms onto each other to simplify fully. 7-3+3+2x+4y

Answers

Answer:

2x+4y+7

Step-by-step explanation:

1.
What is the measure of

2.
What is the measure of

3.
What is the measure of

Answers

Answer:

What is the Measure if what?

Step-by-step explanation:

GKW = 39°

PKG = 61°

PKW = 90°

PKF = 90°

FKM = 39°

PKM = 129°

WKF = 180°

WKM = 219°

Answer:

1.W&M=141 degerees

2.M&F=39 degerees

3.F&G=141 degerees

Step-by-step explanation:

1= if g&w were 39 degerees to search w&m

= 180-39=141degerees

w&m=141 degerees

2=the same with g&w

3= the same with w&m

Use the drop-down menu to write the rule to fit the pattern for this table.

Does anyone know this one ?

Answers

Answer:

5 times

Step-by-step explanation:

5*0=5... 5*1=5... 5*2=10... 5*3=15... 5*4=20

· y = 3x - 7
Find the slope

Answers

Answer:

3

Step-by-step explanation:

the slope of an equation (y=mx+b) is always "m", or the coefficient right infront of x. in this case, y=3x-7, 3=m, -7=b. m is the slope, so the slope is 3.

the correct answer is 3 because is the right slope

A medium of exchange ?

A.) People are willing to hold onto it because they’re confident that it will keep its value over time.

B.) Money simplifies the exchange process because it’s a mean of indicating how much something costs.

C.) To use money to buy the goods and services you want.

Answers

Answer:

B

Step-by-step explanation:

Which steps can be used to solve for the value of y ? 23(y+57)=178

Answers

Answer:

y= -49.26 or -49 6/23

Step-by-step explanation:

First distribute the 23 to y and 57

23y+1311=178

then subtract 1311 from both sides

23y=-1133

Then divide 23 to both sides

y= -49.2608695652

rounded: -49.3

as a fraction: -49 6/23

Which expression is equivalent to 4 square root
Of x^10

Answers

A is the answer to this question

Divide 4 1/2 by the following unit fractions. 1/8 b. 1/4 c. 1/6

Answers

Answer:

a. 36

b. 18

c. 27

Isabella's Flower Shop sells a variety of flowers. Roses cost $5 each. The shop gives a discount of $1 off per rose if more than 10 are bought. Daisies are sold in bunches of 6 flowers and cost $4 per bunch. • Nala bought 12 roses for her friend's going-away party. • Hector bought his mother 4 bunches of daisies for her birthday. • Petunias cost $2 more per bunch than daisies. Use the axioms to make three conclusions about the flowers Isabella sells.​

Answers

Answer:

Isabella earned $48 from Nara. Isabella earned $16 from Hector. Isabella sells petunias for $6 per bunch (the number of petunias per bunch is unclear).

Step-by-step explanation:

Nala bought 12 roses which is greater than 10. So she received a $1 discount for each one. Nara spent 12*4=$48 dollars.

Hector bought 4 bunches of daisies meaning  that Hector spent 4*4=$16.

Petunias cost $6 per bucnh.

118.4 divided by 6.4 = ?
EXPLAIN YOUR ANSWER

Answers

Answer:

18.5

Step-by-step explanation:

to do this question you need to move the decimals. When your denominator has a decimal in it, you need to get rid of it. in order to do that, you have to move the decimal on both numbers so the numbers being divided would be 1184/64. Just divide from there

The division of the given numbers results as 19.

What is a Decimal number?

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given expression is 118.4 ÷ 6.4.

The division can be done step by step as follows,

Step 1:

Both the decimal numbers have only one digit after the decimal.

Thus, both can be multiplied by 10 to remove the decimal as follows,

118.4/6.4 = (118.4 × 10)/(6.4 × 10)

              = 1184/64

Now, the equivalent expression becomes as 1184 ÷ 64.

Step 2:

Divide 1184 and 64 with their largest common factor as follows,

(1184 ÷ 16)/(64 ÷ 16) = 76/4

Step 3:

Again divide 76 and 4 to get 19 as follows,

76/4 = 19

Hence, the given expression can be simplified to give 19 as the result.

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Solve.

−8y ≥ 56


y ≤ 7


y ≥ 7


y ≥ –7


y ≤ −7

Answers

9514 1404 393

Answer:

  (d)   y ≤ -7

Step-by-step explanation:

The solution is found by dividing by the coefficient of y. Since that is a negative number, the sense of the comparison is reversed.

  -8y ≥ 56

  (-8y)/(-8) ≤ 56/(-8)

  y ≤ -7

A ball shaped like a sphere has a radius of 1.5 feet. What is the measurement of the volume of the ball in cubic feet?​

Answers

Answer:

9.42

Step-by-step explanation:

1.5 is the radius so you plug it into [tex]\pi r^{2}[/tex] to get about 7.07 than do get the volume of a sphere you multipy by (4/3). I used my phone so you may want to use a ti84 so you can reuse the answers to get it more exact. It is a rounded answer with rounds at each step.

PLEASE HELP I WILL GIVE YOU BRAINLIEST

Answers

Answer:

yoo echo stop deleting my answers  bro

Step-by-step explanation:

Which explains why a caterpillar might look like a dangerous snake? *
(10 Points)
O A. The caterpillar and the snake have the same DNA.
B. The caterpillar and the snake have the same predators.
O C. An anti-predator adaptation has evolved in the caterpillar.
D. A behavioral adaptation has evolved in the caterpillar.

Answers

Answer:

C - An anti-predator adaptation has evolved in the caterpillar.

Step-by-step explanation:

An anti-predator adaptation has evolved in the caterpillar. By caterpillar might look like a dangerous snake.

What is adaptation?

The term adaption refers to that, In biology, there are three related definitions of adaptation. First, natural selection, a dynamic evolutionary process, adapts.

The organisms to their environments, improving their evolutionary fitness. Second, it is a state that the populace has attained throughout that process.

Both predator and prey species use a variety of camouflage strategies to survive, including adopting the appearance of fearsome or unappealing creatures.

Therefore, The right option (C) is correct.

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PLEASE HELP ME ASAP PLEASE I WILL GIVE BRAINLEST AND 5 STARS AND A HEART PLEASE HELP Simn Bolvar is one of the independence heroes in many Latin American countries.Panam, Ecuador, Colombia, Venezuela, and of course Bolivia, which was named afterhim, were liberated with Bolvars help.Bolvar was born in Caracas, Venezuela, to a wealthy family. He received a goodeducation and during his youth spent some years in a military academy. He also studiedin Spain and traveled through Europe, where he became acquainted with manyintellectuals of the era. By then he already wanted to see Latin America free from theSpanish crown. Upon his return, he started to fulfill his desire.In 1810 many regions on the American continent declared their independence fromSpain, and Bolvar had a main role in the independence process in various nations. Thisprocess was not easy. There were a series of battles and civil wars, and even a period ofself-exile to Jamaica, but after several years, Bolivar attained independence forVenezuela and Nueva Granada (today Colombia and Ecuador.) Years later, Bolivarhelped the cause for independence in Peru and Alto Peru (today Bolivia.) After theindependence war, Bolivar became president of Nueva Granada and Peru. He is knownas the liberator in these countries. Where was Simon Bolivar born? In which country is Bolivar seen as their hero of independence? Where did Bolivar go during his exile? When did the battles for independence begin? and the last one By what name is he known in many countries? Help! I dont really know what its asking Random question to answer!!Whos failing online school ? Which equation can be used to solve the problem?75 percent of what number is 150?StartFraction 75 times 1 Over 150 times 1 EndFraction = StartFraction 75 Over 150 EndFractionStartFraction 150 times 2 Over 75 times 2 EndFraction = StartFraction 300 Over 150 EndFractionStartFraction 200 times 2 Over 75 times 2 EndFraction = StartFraction 400 Over 150 EndFractionStartFraction 75 times 2 Over 100 times 2 EndFraction = StartFraction 150 Over 200 EndFraction Anybody know the answer 5. The sales tax in New Jersey is 6%.About how much will a $31 backpackcost, including sales tax?A $1.50C $33B $30D $38 Which of the following will lead to a change in current scientific theory?A. a small group of scientist who studies the theory can make changesB. A change in the worlds opinionC. A change in the scientific evidence regarding the theoryD. The person who originally developed the theory can make changes 1. The correct idiom is: Tired of- True or False2. The correct idiom is: concern to- true or false 3. The correct idiom is: similar with- true or false As the amount of water vapor in the air increases, what happens A. The temperature increasesB. The relative of humidity increasesC. The temperature decreasesD. The relative of humidity decreases Kristin bought a snowboard for $60. The sales tax rate for the snowboard is $0.04 for every dollar spent. How much did Kristin pay in all for the snowboard? 45% of the students at Mannion Middle School walk to school. If 234 students walk to school, how many students are at Mannion Middle School? In a survey of 2,300 people who owned a certain type of car, 1,264 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car PLEASE HELP ASAP!Simplify. Please show your work.3a+10b+4a-4b Decrease 101 by 43%Give your answer rounded to 2 DP. plsssssssssss helppppppppppppppp me Select all the statements that describe the expression 5 + 2x A.The expression represents 5 plus 2 plus x.B.The expression represents 5 plus 2 times x. C.The expression represents 5 plus x plus 2D.The expression represents the product of 2 and X plus 5. E.The expression represents the sum of 5 and 2x. F.The expression represents the product of 5 and 2x. Explain how the fur trade affected people in the Pacific Northwest. What were the positive and negative effects for traders and American Indian tribes? Support your conclusions with reasons and evidence. Choose the equation of a line parallel to the graph of 2y - 6x = 8. ay = - x + 1 by = 3x + 5 cy = - 3x + 4 dy = - 1/3x + 4 how do you calculate tan^-1 (10/53) Explain why a systems engineer would work for the Federal Aviation Administration and describe his or her role.