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BabaBlast [244]
3 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]3 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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Mason used 1/6 of a gram of honey to make 1/12 of a pan of pudding. How many grams of honey are needed to make a full pan of pud
madreJ [45]

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Step-by-step explanation

3 0
3 years ago
Complete the square<br> to find the vertex<br> of this parabola.<br> x?+8y+2x - 23=0
trapecia [35]

Answer:

The vertex of the parabola is;

([-1], [3])

Step-by-step explanation:

The given quadratic equation is presented as follows;

x² + 8·y + 2·x - 23 = 0

The equation of the parabola in vertex form is presented as follows;

y = a·(x - h)² + k

Where;

(h, k) = The vertex of the parabola

Therefore, we have;

x² + 8·y + 2·x - 23 = 0

8·y = -x² - 2·x + 23

y = 1/8·(-x² - 2·x + 23)

y = -1/8·(x² + 2·x - 23)

y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)

y =  -1/8·((x + 1)² - 24) =  -1/8·(x + 1)² + 3

Therefore, the equation of the parabola in vertex form is y =  -1/8·(x + 1)² + 3

Comparing with y = a·(x - h)² + k, we have;

a = -1/8, h = -1, and k = 3

Therefore, the vertex of the parabola, (h, k) = (-1, 3).

3 0
3 years ago
Find the median: 10, 8, 14, 16, 13, 12.
iVinArrow [24]

Answer:

12.5

Step-by-step explanation:

10, 8, 14, 16, 13, 12

Organize the numbers from least to greatest

8, 10, 12, 13, 14, 16

Normally, the median would just be the number in the middle. However, because there are two numbers in the middle for this data set, add them and divide the sum by 2.

12+13=25

25÷2=12.5

Therefore, the median is 12.5.

I hope this helps!

8 0
3 years ago
Read 2 more answers
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