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Mathematics

1 answer:

Softa [21]4 years ago

3 0

The triangle: 4*4/2=8
The square: 4²=16
16+8=24

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A recipe requires 3 1/2 cups of milk. Sam put in 1 3/4 cups and emptied the container. How much more milk does she need to put i

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Answer:

1 3/4

Step-by-step explanation: you would add 1/4 to the 1 3/4 sam already put in. at that point your left with 2 cups and to get to 3 1/2 from 2 you need 1 1/2 cups

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3 years ago

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A kite is a quadrilateral with two pairs of adjacent, congruent sides. Prove the two angles between non-congruent sides are cong

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Quadrilateral ABCD is a kite AB is congruent to AD -- definition of a kite BC is congruent to DC -- definition of a kite draw a line segment AC AC is congruent to itself -- identity triangle ABC is congruent to triangle ADC -- SSS angle ABC is congruent to ADC QED

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3 years ago

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if the perimeter of a rectangular picture frame must be less than 180 in., and the width is 26 in., what must the hight (h) of t

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3 years ago

The surface area of the pyramid with square base that measures 8 ft by 8 ft and slant height of 12 ft is 256 ft^2.

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3 years ago

Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore <span>$72,449.19</span>

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3 years ago

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