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Ilia_Sergeevich [38]
2 years ago
8

You want to buy some rice. An 8-ounce package costs $2.72. A 12-ounce package costs $4.32. A

Mathematics
1 answer:
Alika [10]2 years ago
5 0

Answer:

18 ounce, enjoy your day

Step-by-step explanation:

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Identify an equation in point-slope form for the line perpendicular to y = –4x – 1 that passes through (–2, 7).
Harlamova29_29 [7]
To get a perpendicular line, your slopes will equal -1 when multiplied...this means if we multiply - 4 x (1/4), we get out slope to use for the next step.

Y - Y1 = M(X - X1)    passes through (-2, 7)
Y - 7 = 1/4(X - (-2))
Y - 7 = 1/4(X + 2)
Y - 7 = 1/4X + 1/2
   +7              + 7
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Find the future value of an annuity due of $7,000 paid at the beginning of each 6-month period for 8 years if the interest rate
Oliga [24]

Answer: Im not sure but i think its 120,960

Step-by-step explanation: i know that there is 2 of the 6-month periods in a year and multiplied that by 8 and got 16. Then i did 7000x.08=560 and then i added that to 7000 and got 7560. FInally i multiplied that by 16 and got 120,960.

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2 years ago
What is the value of the six in 106,534
aleksley [76]
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8 0
3 years ago
Fifteen years ago, you deposited $12,500 into an investment fund. Five years ago, you added an
True [87]

Answer:

a) 8.16%

b) $65,762.50

c) $39,701.07

Step-by-step explanation:

Given:

15 years ago, Initial investment = $12500

5 years ago, Investment = $20000

Nominal interest = 8% semi annually for first 10 years

Interest2= 6.5% compunded annually for last five years

a) for the effective annual interest rate (EAR) in the first 10 years, let's use the formula:

[1+(nominal interest rate/number of compounding periods)]^ number of compounding periods-1

EAR = [1 + (\frac{0.08}{2})]^2 - 1

= (1 + 0.04)^2 - 1

= (1.04)^2 - 1

= 1.0816 - 1

= 0.0816

= 8.16%

The effective annual interesting rate, EAR = 8.16 %

b) To find the amount in my account today.

Let's first find the amount for $12500 for 10 years compounded semi annually

= 12,500 +( 12,500 * 8.160% * 10)

= $ 22,700

Let's also find the amount for $32,500($12,500+$20,000) for 5 Years compoundeed annually

$32,500 + ($32,500 * 6.5% *5)

= $ 43,062.50

Money in account today will be:

$22,700 + $43,062.50

= $65,762.50

c) Let's the amount I should have invested to be X

For first 10 years at 8.160%, we have:

Interest Amount = ( X * 8.160% * 10 ) = 0.8160 X

For next 5 years at 6.5%, we have:

Interest Amount = (X * 6.5% * 5) = 0.325 X

Therefore the total money at the end of 15 Years = 85000

0.8160X + 0.3250X + X = $85,000

= 2.141X = $85,000

X = 85,000/2.141

X = 39,701.074 ≈ $39,700

If I wish to have $85,000 now, I should have invested $39,700 15 years ago

7 0
3 years ago
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