Erica was given $300 for her birthday and decided to put it in a savings account that earns 3.75% interest. If she makes no other deposits or withdrawals, find her account balance after 10 years

Answer:

the answer is C

Step-by-step explanation:

hoped I helped:)

Answer:

In the question, it says that this is a proportional relationship.

A proportional relationship is something like:

y = k*x

So when we have x = 0, we also need to have y = 0.

For the case in the question, this does not happen, so i guess that the actual question is:

"At a gourmet coffee shop. 3.5 pounds of dark-roast coffee beans cost $56 and 7 pounds of the same coffee cost $112."

We can define:

x = amount of coffee

y = price of that coffee

Now we have two pairs:

$56 to get 3.5lb

$112 to get 7lb

Then we have two points:

(3.5lb, $56)

(7lb, $112)

We can draw these two points and then connect them with a line, this line will represent the proportional relationship.

Now we need to look at the value 1 in the x-axis, then draw a vertical line

At the point where this vertical line intersects the graph, we draw a horizontal line, and the value of y is the value at which this horizontal line intersects the y-axis.

(you can see a rough sketch of this in the image below)

The solution is 1lb of coffee costs $16.

Answer:

Fixed

x=5.66

Step-by-step explanation:

This is an around about way since it's not a right triangle.

lets call the segment line that bisects the lower right angle= M.

The two triangles created would be similar. So:

4/6=M/(x+3)

4x+12=6M

M=(4x+12)/6

and

(x+3)/(x+4)=M/6

(6x+18)=Mx+4M

M=(6x+18)/(x+4)

since M=M

(4x+12/6=(6x+18)/(x+4)

(x+4)(4x+12)=6(6x+18)

4x^2+12x+16x+48=36x+108

4x^2+28x+48=36x+108

4x^-12x-60=0

x^2-3x-15=0

Factor

(x+2.65)(x-5.66)=0

x=5.66

Answer:

13

Step-by-step explanation:

replace b with 3 and solve:

3² + 4 = 13

Answer:

62.5%

Step-by-step explanation:

average = sum of scores / number of scores

60% = [sum of 9 tests] / 9

[new average] = [sum of 10 tests] / 10

= ([sum of 9 tests] + 85%) / 10

= ((9 * 60%) + 85%) / 10

= 62.5%

Answer:

see

Step-by-step explanation:

diameter=2×pi×r

diameter. 2.22/7.r

Answer:

It might be D but im srry if wrong

Step-by-step explanation:

Answer:

1,a. 224in

b. 240in

2,144ft

3,it is kind of hard I well try it on common if I can

Answer:

Step-by-step explanation:

You haven't provide expressions to choose from.

6(c+8) = 6c+48

Answer:

6c + 48

Step-by-step explanation:

Answer:

AB

Step-by-step explanation:

angle C is 58 because 59+63=122 180-122=58

and drag and arrow to the opposite side of each angle and you have your answer

The width of w is 0.90 cm.

The first step to solve this problem is to find how long is each side.  About this, we know one side is 8 1/2 cm or 8.5 but the other side is not exactly given (4cm + w + 2/3 w). To determine the length of this size, use the area formula:

The total length of the side - known side

This means w + 2/3 w (0.66 w) is equal to 1.5

Find w:

Learn more about width in: https://brainly.com/question/3133832

Answer:

x=23

Step-by-step explanation:

90-65=25

25-2=23=x

Answer:

Price per mechanical pencil: [tex]\$ 0.5[/tex].

Price per ruler: [tex]\$ 1[/tex].

Step-by-step explanation:

Let the cost per mechanical pencil be [tex]\$ p[/tex], and let the cost per ruler be [tex]\$ r[/tex].

Set up two equations based on the amount of money that each teacher paid.

The cost of [tex]50[/tex] mechanical pencils ([tex]\$ p[/tex] each) and [tex]30[/tex] rulers ([tex]\$ r[/tex] each) would be [tex](50 \, p + 30\, r)[/tex]. That should be equal to the amount of money that Mrs. Ortiz paid. In other words, [tex]50 \, p + 30\, r = 55[/tex].

Similarly, the cost of [tex]30[/tex] mechanical pencils ([tex]\$ p[/tex] each) and [tex]30 \![/tex] rulers ([tex]\$ r[/tex] each) would be [tex](50 \, p + 30\, r)[/tex]. That should be equal to the amount of money that Mr. Donahue paid. In other words, [tex]30 \, p + 30\, r = 45[/tex].

That gives a system of two equations:

[tex]\left\lbrace \begin{aligned}& 50 \, p + 30\, r = 55 \\ & 30 \, p + 30\, r = 45 \end{aligned}\right.[/tex].

Subtract the second equation for the first:

[tex]20\, p = 10[/tex].

[tex]\displaystyle p = \frac{1}{2} = 0.5[/tex].

In other words, the cost of one mechanical pencil would be [tex]\$0.5[/tex].

Substitute [tex]p = 0.5[/tex] back to either equation and solve for [tex]r[/tex], the cost of one ruler.

[tex]50 \times 0.5 + 30\, r = 55[/tex].

[tex]30\, r = 55 - 25 = 30[/tex].

[tex]r = 1[/tex].

In other words, the cost of one ruler would be [tex]\$ 1[/tex].

Answer/Step-by-step explanation:

A1. Reference angle = 41°

Hypotenuse = x

Adjacent = 7

Thus, applying trigonometric ratio, we would have:

Cos 41 = 7/x

Multiply both sides by x

x × cos 41 = 7

Divide both sides by cos 41

x = 7/cos 41

x = 9.3 (nearest tenth)

A2. Reference angle = 65°

Hypotenuse = 6

Opposite = y

Thus, applying trigonometric ratio, we would have:

Sin 65 = y/6

Multiply both sides by 6

6 × sin 65 = y

5.4 = y (nearest tenth)

y = 5.4

A3. Reference angle = 50°

Hypotenuse = z

Opposite = 8

Thus, applying trigonometric ratio, we would have:

Sin 50 = 8/z

Multiply both sides by z

z × sin 50 = 8

Divide both sides by sin 50

z = 8/sin 50

z = 10.4 (nearest tenth)

B1. Reference angle = 49°

Hypotenuse = x

Opposite = 7

Thus, applying trigonometric ratio, we would have:

Sin 49 = 7/x

Multiply both sides by x

x × sin 49 = 7

Divide both sides by sin 49

x = 7/sin 49

x = 9.3 (nearest tenth)

B2. Reference angle = 25°

Hypotenuse = 6

Adjacent = y

Thus, applying trigonometric ratio, we would have:

Cos 25 = y/6

Multiply both sides by 6

6 × cos 25 = y

y = 5.4 (nearest tenth)

B3. Reference angle = 40°

Hypotenuse = z

Adjacent = 8

Thus, applying trigonometric ratio, we would have:

Cos 40 = 8/z

Multiply both sides by z

z × cos 40 = 8

Divide both sides by cos 40

z = 8/cos 40

z = 10.4 (nearest tenth)

Step-by-step explanation:

To find the percent increase, divide the increase by the original price.

P1 = price yesterday

P2 = price today

To find percent increase

[tex] \frac{(p2 - p1)}{p1} [/tex]

Or to answer the question,

P1 = 9.74

P2 = 9.87

[tex] \frac{(9.87 - 9.74)}{9.74} = 0.013347[/tex]

Or 1.33%

Answer:

It would be at the 8th floor Hope it helped

Step-by-step explanation:

Answer:

6 pegs can be cut.

Answer:

24

Step-by-step explanation:

!=1

Answer:

81 ............................

Answer:

81

Step-by-step explanation:

just multiply 3 to itself 4 times.

Answer:

60$

Step-by-step explanation: 10/5=2

2*30= 60

*rounded*

Answer:

The answer is D. 14

Step-by-step explanation:

If you were to plug in 14 for x, it would look something like this:

[tex]\frac{14-4}{14}[/tex] = [tex]\frac{5}{7}[/tex]

Solve 14-4

[tex]\frac{10\\}{14}[/tex] = [tex]\frac{5}{7}[/tex]

if you were to multiply 5 and 7 by 2, you would get

[tex]\frac{10}{14}[/tex].

This makes the equation true, because

10/14 does equal itself (10/14)

Have a nice day!

Answer:

0.0082 = 0.82% probability that the height of a randomly selected tree is as tall as mine or shorter.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Assume that X has a normal distribution with a mean of 191.8 ft and a standard deviation of 4 ft.

This means that [tex]\mu = 191.8, \sigma = 4[/tex]

A tree of this type grows in my backyard, and it stands 182.2 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.

This is the pvalue of Z when X = 182.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{182.2 - 191.8}{4}[/tex]

[tex]Z = -2.4[/tex]

[tex]Z = -2.4[/tex] has a pvalue of 0.0082

0.0082 = 0.82% probability that the height of a randomly selected tree is as tall as mine or shorter.

Answer:

Step-by-step explanation:

Did the calculations myself, probably too late for these to be of any use but I'll leaave them here anyways for anyone else that needs it in the future. Love yall!

Answer:

Step-by-step explanation:

100%-17.5%= 82.5%

82.5% (divide) 82.5%= 1%

so (1% of the orginal price)=

£264 (divide) 82.5%= £320= original price

The price of the computer is reduced by £56 which is 17.5% of £320.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, The price of a computer is reduced by 17.5% and the reduced price is £264.

Let the original price be '£x'.

So, (100 - 17.5)% = 82.5% of '£x' is  £264.

∴ (82.5/100)×x = 264.

0.825x = 264.

x = 264/0.825.

x =  £320.

So, The price reduced is (320 - 264) =  £56.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Answer:

3

Step-by-step explanation:

3x4 is 12 and then you subtract them from each 9ther

Answer: 6

Step-by-step explanation:

6 is the only number next to x and is multiplying with it (ex: 6x would be a coefficient but 6+x would not)

Answer:

1728

Step-by-step explanation:

Volume=length*width*height

Vol=18*8*12=1728 cubic inches