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Lerok [7]
4 years ago
13

Sarah deposits $250 into an annuity due at the beginning of every 6-month period for 9 years. The account earns an annual 6% com

pounded semiannually. What is the future value of the annuity after 9 years? How much interest did she earn?
Mathematics
1 answer:
Karolina [17]4 years ago
3 0

Answer: she earned $6007.5

Step-by-step explanation:

We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as

S = R[{(1 + r)^n - 1)}/r][1 + r]

Where

S represents the future value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n represents the total number of payments made.

From the information given,

R = $250

r = 0.06/2 = 0.03

n = 2 × 9= 18

Therefore,

S = 250[{(1 + 0.03)^18 - 1)}/0.03][1 + 0.03]

S = 250[{(1.03)^18 - 1)}/0.03][1.03]

S = 250[{(1.7 - 1)}/0.03][1.03]

S = 250[{(0.7)}/0.03][1.03]

S = 250[23.3][1.03]

S = 250 × 24.03

S = $6007.5

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The scale of a map is 1 : 25 000
Artyom0805 [142]

Answer: 5.5km

Step-by-step explanation:

The scale given 1 : 25 000 , and it was said that on the map , the distance between two railway stations is 22 cm , this means that the scale of the map is 1: 25000 cm.

The scale 1 : 25 000 means that each centimeters on the map represent 25 ,000 in real life ,therefore , to calculate the real distance between the two railway station , we have

25,000 X 22

= 550000 cm

To convert this to km

Recall that

1 km = 100,000 cm

Therefore we will divide the answer by 100,000 , that is

550000/100000

= 5.5 km

Therefore , the real distance between the two railway stations is 5.5km

7 0
3 years ago
What is d if <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3d-2%7D%7B8%7D%20%3D%20-d%2B16%5Cfrac%7B1%7D%7B4%7D" id="TexFormula1" t
Harlamova29_29 [7]

Answer: d=12

Step-by-step explanation:

\displaystyle\\\frac{3d-2}{8} =-d+16\frac{1}{4} \\\\\frac{3d-2}{8} =-d+\frac{16*4+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{64+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{65}{4}

Multiply both parts of the equation by 8:

\displaystyle\\3d-2=(-d+\frac{65}{4} )(8)\\\\3d-2=-8d+65*2\\\\3d-2=-8d+130\\\\3d-2+2=-8d+130+2\\\\3d=-8d+132\\\\3d+8d=-8d+132+8d\\\\11d=132\\

Divide both parts of the equation by 11:

d=12

8 0
2 years ago
What is 56,902 in expanded form?
mariarad [96]
56,900 but I'm only 50% sure I don't know about the other 50% sorry If its wrong.
3 0
3 years ago
Read 2 more answers
A figure can be covered by 28 unit squares,without any gaps or overlaps.what is the area of the figure?
Tom [10]
Remember that the area of a square is just one of its sides squared. A=s^2
where 
A is the area of the square 
s is one of the sides of the square

Unit square is a square whose sides have length 1, so lets use our formula to find the volume of one unit square:
A=s^2
A=1^2
A=1
We now know that each one of the squares has area 1 unit squared. Since there are 28 unit square in our figure, we are going to multiply the area of a unit square by 28 to find the area of our figure:
Area of the figure=28(1)=28 units squared 

We can conclude that the area of the figure is 28 units squared.
7 0
3 years ago
The teacher said we could estimate but give a good reason for that estimate​
lyudmila [28]

Answer:

$11, even if you do work a job thats not that hard you should still be making a good amount of money

Step-by-step explanation:

I just used my opinion

5 0
3 years ago
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