On the day that Tony was born his grandmother invested $2200 in a certificate of deposit that pays a 3% interest
rate compounded annually. How much money will there be in the account on his 16th birthday?
Answer:
$3530.3541
Step-by-step explanation:
Given that:
Principal = 2200
Interest rate compounded annually (r) = 3%
Time (t) = 16 years
Using the compound interest formula :
A = P(1 + r/n)^n*t
A = final amount
n = number of times interest is applied per period
A = 2200(1 + 0.03)^16
A = 2200(1.03)^16
A = 2200 * 1.60470643909878751793
A = $3530.3541
Hence, amount in account on his 16th birthday will be $3530. 3541
represent 45% as a decimal
Answer:
45% as a decimal is 0.45
Step-by-step explanation:
45% ÷ 100 = 0.45
3х + 4 = 14
х = 2y - 12
Answer:
(-2, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = 14
x = 2y - 12
Step 2: Solve for y
Substitution
Substitute in x: 3(2y - 12) + 4y = 14Distribute 3: 6y - 36 + 4y = 14Combine like terms: 10y - 36 = 14Isolate y term: 10y = 50Isolate y: y = 5Step 3: Solve for x
Define equation: x = 2y - 12Substitute in y: x = 2(5) - 12Multiply: x = 10 - 12Subtract: x = -2600 lbs + 480 lbs I need this rounded to the correct precision
2 cos theta - 1 = 0 trig equations
Answer:
what does cos theta mean
Step-by-step explanation:
i need to know
Please Help! Which is the set of whole numbers between ten and fifteen? Responses {12, 14} {12, 14} all real numbers all real numbers {11, 12, 13, 14} {11, 12, 13, 14} null set
{11, 12, 13, 14} is the set of whole numbers between ten and fifteen
This is further explained below.
Which is the set of whole numbers between ten and fifteen?Generally, An aliquot is the number zero, a positive natural number or a negative integer with a negative sign.
The additive inverses of the positive numbers that they relate to are represented by the negative numbers.
In conclusion, {11, 12, 13, 14} is the set of whole numbers between ten and fifteen
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Let f(k) = 7k6 + 6k - 10 and g(k) = -366 - 7k + 1. Find the difference (f - g)(k).
Correct question is;
Let f(k) = 7k^(6) + 6k - 10 and g(k) = -3k^(6) - 7k + 1. Find the difference (f - g)(k).
Answer:
(f - g)(k) = 10k^(6) + 13k - 9
Step-by-step explanation:
We are given;
f(k) = 7k^(6) + 6k - 10
g(k) = -3k^(6) - 7k + 1
Thus;
(f - g)(k) = 7k^(6) + 6k - 10 - ( -3k^(6) - 7k + 1)
(f - g)(k) = 7k^(6) + 6k - 10 + 3k^(6) + 7k - 1)
(f - g)(k) = 10k^(6) + 13k - 9
Can pls answer this you get 5 points
Using scientific notation, it is found that this could be an approximation for:
A) 4,762,100,000 years.
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
The number in this problem is:
[tex]5 \times 10^9[/tex]
Which means that it should have 10 digits, the equivalent to 5 plus the equivalents to the 9 zeros, with:
The first digit being 4.The second digit being 5 or greater, due to rounding.Hence the number that could be approximated is:
A) 4,762,100,000 years.
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Estimate the length of the line segment to the nearest tenth of a unit ( each grid square is 1 square unit).
By using the Pythagorean theorem, we conclude that the length of the segment is 3.2 units.
How to estimate the length of the segment?
We want to find the length of the graphed segment. In the grid, we can see that the horizontal displacement between the two ends measures one unit, and the vertical displacement measures 3 units.
So the length can be tought as the hypotenuse of a right triangle whose legs measure one unit and 3 units.
By using the Pythagorean theorem, we can find that lenght L by.
L^2 = 1^2 + 3^2
Now, if we apply the square root in both sides we will get:
L = √(1^2 + 3^2) = √(1 + 9) = √10 = 3.2
We conclude that the length of the segment is 3.2 units.
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Which exponential equation is equivalent to log311=a?
Answer:
[tex]3^{a}[/tex] = 11
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex] , so
[tex]log_{3}[/tex] 11 = a ⇒ 11 = [tex]3^{a}[/tex]
m=x+y+z/3 solve for y
Answer: [tex]M-x-\frac{z}{3}=y[/tex]
Step-by-step explanation:
[tex]M=x+y+\frac{z}{3}\\\\M-x-\frac{z}{3}=y[/tex]
give the formula for the following sequence. 22, 19, 16, 13, 10,...
Answer:
x_n = x_(n-1) - 3
Step-by-step explanation:
x_n = x_(n-1) - 3
Take the previous number and subtract 3
Answer:
Just keep on adding 3
Step-by-step explanation:
10 + 3 = 13 + 3 = 16 +3 =19 + 3 = 22
Place the numbers in the table to order them from least to greatest.
Pllssss
Step-by-step explanation:
-4.25, -4, 3.95, -13/3, -14/3
If 5x is the average of two numbers and one of the numbers is 3, what is the other number? My book says its 10x-3. How did they come up with that answer?
The other number given the average of the two numbers and one of the numbers is 10x - 3.
What is the average of the two numbers?The average of a set of numbers is the mean of the numbers. The average of a set of numbers is determined by adding the numbers together and dividing it by the sum of numbers. Average is a measure of central tendency.
In order to determine the second answer, subtract the first number from the sum of numbers.
Average = sum of numbers / total numbers
5x = sum of numbers / 2
Sum of the two numbers = 5x × 2
Sum of the two numbers = 10x
If one of the numbers is 3, the other number is: 10x - 3
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(-1,4)(2,-5), (-3,2)(3,0) parellel or perpendicular
Answer:
Perpendicular
Step-by-step explanation:
These lines don't run with each other, and instead, cross paths.
* plz hurry it is on a test
4) Find the slope of the line that runs through these points.
(-10, -2), (5,0)
Answer:
slope = 1/4
Step-by-step explanation:
The slope of a line is defined by the rise (change in y-value)/run (change in x-value. The change in y-value is 0 - (-2) = 0 + 2 = 2. The change in x-value is -2 - (-10) = -2 + 10 = 8. Therefore, the slope is 2/8 or (simplified) 1/4.
I have 12 brownies in a pan. If my friends ate 3/4 of the brownies, how many brownies did they eat?
Answer:
9
Step-by-step explanation:
3/4 of 12 is 9
PLS ANSWER ASAPThe function f(x) = 4x + 10 models the amount of money Francis makes
when babysitting for x hours. How much money will he make for 2 hours of
babysitting work?
018
0 -3
2
02
Answer:
A 18
Step-by-step explanation:
f(x) = 4x + 10
f(2) = 4(2) + 10
f(2) = 8 + 10
f(2) = 18
18 money will he make for 2 hours of babysitting work
What is a function?A relation is a function if it has only One y-value for each x-value.
Given,
function f(x) = 4x + 10
The function models the amount of money Francis makes when babysitting for x hours.
We need to find the money he make for 2 hours of babysitting work.
To find this we just need to plug in x value as 2 in function
f(2)=4(2)+10
=8+10
18
Hence, 18 money will he make for 2 hours of babysitting work
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Please Help!!Which is the set of whole numbers between ten and fifteen? Responses A. {12, 14} B. all real numbers C. {11, 12, 13, 14} D. null set
Plssssssssssssss help
Answer:
4x-4
Step-by-step explanation:
6x- 2x=4x
-5+1=-4
4x-4
-3=?-11 Find the missing value.
Answer:
?=8
Step-by-step explanation:
I substituted the ? for x
-3=x-11
first we want to isolate the x to do that, you have to find a way to move -11 to the other side. Well, x+0=x right? So all we have to do is find a way to go from -11 to 0! In this case you add 11 to both sides. This is very important so don't forget.
-3=x-11
+11 +11
-3+11=8
x=8
If you check your work, this should also go back in perfectly.
-3=8-11
or
-3=-11+8
I hope this helps!
Have a good day!
Question 4
1 pts
Solve:
-(x-8)= -2
x = [a]
Answer:
-[x-8]= -2
-x+8=-2
-x= -2-8
-x÷ -1=-10÷ -1
x=10√
What are the coordinates of the vertex? *
Answer:
(2,-7)
Step-by-step explanation:
The equation of a parabola is y=a(x-h)^2 + k
the vertex in this equation is (h,k)
Since the equation that is given is y=(x-2)^2-7
we can conclude that the vertex will be (2,-7)
Divide the fractions.
9/2 divided by 4/10
Answer:
11 1/4
Step-by-step explanation:
9/2/4/10
9/2/2/5
9/2*5/2
45/4
11 1/4
Final Answer:
45/4
Step-by-step explanation:
9/2 ÷ 4/10
9/2 ÷ 10/49/2 × 10/4 = 90/890/8 ⇒ 45/4
Traffic signs are regulated by the Manual on Uniform Traffic Control Devices ( MUTCD ) The perimeter of a rectangular traffic sign is 100 inches . Also , its length is 10 inches longer than its width . Find the dimensions of this sign .
The Manual on Uniform Traffic Control Devices governs traffic signs (MUTCD ) A rectangular traffic sign has a 100-inch perimeter. Additionally, its width is 10 inches wider than its length. Identify this sign's measurements.
The dimensions of this sign, the width of the sign is 20 inches and the length of the sign is 30 inches.
Given, The perimeter of a rectangular traffic sign is 100 inches.
rectangular perimeter= 2(l+b)=100
Also, its width is 10 inches wider than its length.
l=10+b
Take 2(l+b)=100
l+b=50
Substitute l=10+b in the above equatuion.
10+b+b=50
10+2b=50
2b=50-10
2b=40
b=20
Substitute b=20 in l=10+b
l=10+20
l=30
Therefore, The width of the sign is 20 inches and the length of the sign is 30 inches.
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Help and thanks very much
Answer:
ST= [-4 19 TS= [-12 -8
8 -18 ] while -25 -10 ] therefore :- multiplication of matrices is not commutative .
Step-by-step explanation:
multiplication of matrices 2x2
[ a b × [ w x
c d ] y z ]
[ a.w + b.y a.x + b.z
c.w + d.y c.x + d.z ]
Use the reciprocal property to solve for x : 3/540= 10/x
Answer:
x=1800
Step-by-step explanation:
The value of x for the given equation is 1800.
What is the reciprocal property?The reciprocal of any quantity is, one divided by that quantity. For any number ‘a’, the reciprocal will be 1/a. If the given number is multiplied by its reciprocal, we get the value 1.
Given that, 3/540= 10/x.
Now, 1/180 = 10/x
⇒ 180/1 =x/10
⇒ x=180×10
⇒ x=1800
Therefore, the value of x for the given equation is 1800.
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What is the next term of the arithmetic sequence?
-7, -5, -3, -1, 1,
2 tablets 3x per day
Answer: that's 6 tablets per day!
Hope this helps!
Choose the estimate closest to an average person's weight: 8kg, 80kg, or 800 kg.
The estimate closest to an average person's weight is 80kg
How to determine the estimate?The weights are given as:
8 kg, 80 kg and 800 kg
To answer this question, I will assume that a person means an adult
An adult that weighs 8 kg is very much under weight
Because the average weight of a person is around 60 to 90 kg
Hence, the estimate closest to an average person's weight is 80kg
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