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gizmo_the_mogwai [7]
3 years ago
8

For 1≤????≤10, find a formula for p????, the payment in year ???? on a loan of 105000 dollars. Interest is 5 percent per year, c

ompounded annually, and payments are made at the end of each year for 10 years. Each payment is 10500 dollars plus the interest on the amount of money outstanding.
Mathematics
1 answer:
saw5 [17]3 years ago
6 0

Answer: At the end of 10 years, amount would be $171033.93.

Step-by-step explanation:

Since we have given that

Principal = $ 105000

Rate of interest = 5% p.a.

Number of years = 10 yrs

We need to find the Amount using "Compound interest formula":

A=P(1+\dfrac{r}{100})^n\\\\A=105000(1+\dfrac{5}{100})^{10}\\\\A=105000(1+0.05)^{10}\\\\A=105000(1.05)^{10}\\\\A=\$171033.93

Hence, at the end of 10 years, amount would be $171033.93.

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At Bed Bath and Beyond, the manager, Jill Roe, knows her customers will pay no more than $300 for a bedspread, Jill wants a 35%
lora16 [44]

Answer:

195

Step-by-step explanation:

I would tackle this question with cross multiplying.

 x          65

---    =   ------

300        100

The 300 is the price the customer will pay and x is the amount Jill bought it for. Because Jill wants a 35% markup, that means she is willing to pay 65% what her customers will pay (100-35=65). so we put the 65 over 100 on the other side of the equals sign and cross multiply it out.

100x=19500

Divide both sides by 100 and you get

x=$195

So your answer is: The most Jill Roe can pay for a bedspread is $195.

7 0
3 years ago
What is the value of the expression when a = 6, b = 4, and c = 8?
Y_Kistochka [10]

Answer:

a the answer is a

Step-by-step explanation:

7 0
3 years ago
A plot of land in the shape of a vertical ellipse has a pole at each focus. The foci are 8 feet from the center. If the plot of
PtichkaEL [24]

Answer:

1. B

2.C

Step-by-step explanation:

A plot of land in the shape of a vertical ellipse. The equation of the ellipse is

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1.

If the foci are 8 feet from the center, then c=8.

If the plot of land is 34 feet across the vertical axis, then 2b=34\Rightarrow b=17.

Use formula c=\sqrt{b^2-a^2} (because ellipse is vertical, then b>a) to find a:

8=\sqrt{17^2-a^2}\Rightarrow a^2=289-64=225,\ a=15.

Then  the plot of land is 2a=30 ft across the other axis.

If b>a, the eccentricity of the ellipse is

e=\dfrac{c}{b}=\dfrac{8}{17}\approx 0.471.

3 0
4 years ago
What is 5/8 greater than -9/8
Tresset [83]

Answer:

-4/8 i think

Step-by-step explanation:

-9/8 + 5/8 = -4/8

4 0
3 years ago
Read 2 more answers
A $5000 principal is invested in two accounts, one earning 1% interest and the another earning 6% interest. If the total interes
algol [13]

Answer: in the 1% account we have $2600 and in the 6% account we have $2400.

Step-by-step explanation:

We have two amounts A and B such that:

Where A is the amount invested in the 1% earning interest account and B is the amount invested in the 6% earning interest account.

A + B = $5000,

If the interest is yearly, then we have that, after one year, the interest is:

A*(1%/100%) + B*(6%/100%) = $170

A*0.01 + B*0.06 = $170

So we have two equations:

A + B = $5000

A*0.01 + B*0.06 = $170

In the first equation we can isolate A and get:

A = $5000 - B

and replace it in the other equation:

($5000 - B)*0.01 + B*0.06 = $170

$50 + B*0.05 = $170

B*0.05 = $120

B = $120/0.05 = $2400

Then A = $5000 - $2400 = $2600.

4 0
3 years ago
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