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BabaBlast [244]
2 years ago
9

1. Gwen deposits $7,000 in a savings account with an annual interest rate of 2.5%. What function

Mathematics
1 answer:
xeze [42]2 years ago
8 0

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $7,000

Interest rate (i)= 2.5%

<u>To calculate the future value after x years, we need to use the following formula:</u>

FV= PV*(1 + i)^x

<u>Now, for 9 years:</u>

x= 9

FV= 7,000*(1.025^9)

FV=$8,742.04

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15c² - 5c. Factorise completely ​
KATRIN_1 [288]

Looking at the problem, what we must do to complete this question is to completely factor the expression that was provided.  The expression that was provided is 15c^2 - 5c.

The first step that we must do is to take a look at the expression and see what the two pieces of the expression have in common.  We can see that both 15c^2 and -5c have the number 5 and the variable c associated with them so we can factor out those two.

<u>Factor out 5c</u>

  • 15c^2 - 5c
  • 5c(\frac{15c^2}{5c}) - 5c(\frac{5c}{5c})
  • 5c(3c) - 5c(1)
  • 5c(3c - 1)

Now we have completely factored out the expression that was provided in the problem statement and we came to final answer of 5c(3c - 1).

7 0
1 year ago
Read 2 more answers
A reference sheet given with an exam indicated the following formula for the surface area of a cone.
scZoUnD [109]

Answer:

A.

Using the given formula, the calculated surface area would be in cubic units instead of square units.

Step-by-step explanation:

8 0
3 years ago
A fair 20-sided die is tossed. What is the probability that the numbers 15 or 4 or 18 are tossed?
andrew11 [14]

The probability of 1 number showing up out of 20 is 1/20

The probability of 3 different numbers showing up would be 3/20

Answer: 3/20

7 0
2 years ago
A.) If m 1 = 3x - 7, find x.
aleksley [76]

Answer:

x = 25

Step-by-step explanation:

Angle 1 and the angle opposite from Angle 1 (the angle that's 68°) are vertical angles.

What are vertical angles, you ask?

According to the Oxford dictionary, vertical angles are each of the pairs of opposite angles made by two intersecting lines.

For example, take the letter X. The letter X has two lines that intersect to form 4 angles. The top and bottom angles are a pair of vertical angles. So are the left and right angles.

Vertical angles are always congruent.

(This is VERY important to know! It will help you solve many types of geometry problems!)

m1 is 3x - 7. Because Angle 1 and the angle that's 68° are vertical angles, that means they are equal to each other.

Therefore: 3x - 7 = 68.

Now, you can solve for x to get x = 25.

Hope this helps!

3 0
3 years ago
Find the slope of the line passing through the points (-5, 3) and (7,9).
dybincka [34]

Answer:

\huge\boxed{slope=\dfrac{1}{2}=0.5}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points

(-5;\ 3)\to x_1=-5;\ y_1=3\\(7;\ 9)\to x_2=7;\ y_2=9

Substitute:

m=\dfrac{9-3}{7-(-5)}=\dfrac{6}{7+5}=\dfrac{6}{12}=\dfrac{6:6}{12:6}=\dfrac{1}{2}

5 0
3 years ago
Read 2 more answers
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