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agasfer [191]
3 years ago
6

A total of $8000 is invested: part at 8% and the remainder at 12%. How much is invested at each rate if the annual interest is $

650?
Mathematics
1 answer:
inna [77]3 years ago
4 0

Answer:

8% = $7750

12% = $250

Step-by-step explanation:

I P R. T.

8% X .08 .08X

12% 8000-X .12 .12(8000-X)

.08X + .12(8000-X) = 650

.08X + 960 - .12X = 650

<u> </u><u> </u><u> -960 </u><u> </u><u> </u><u> -960</u>

.08x - .12x = -310

<u>-.04x</u><u> </u><u>=</u><u> </u><u>-310</u>

-.04x -.04x

X = 7750

Verify:

X = 7750

8000 - X = 250

250 + 7750 = 8000

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Polly buys 14 cupcakes for a party. The bakery puts them into boxes that hold 4 cupcakes each.
Temka [501]

Answer:

Part a) The number of boxes needed will be 4

part b) The fraction of the box that is empty is \frac{1}{2}

Part c) Are needed 2 cupcakes to fill the last box

Step-by-step explanation:

Part a) How many boxes will be needed for Polly to bring all the cupcakes to the party?

To find out the number of boxes needed, divide the total number of cupcakes by 4 (maximum number of cupcakes that fit in each box).

so

\frac{14}{4}=3.5\ box

Round up

The number of boxes needed will be 4

Part b) If the bakery completely fills as many boxes as possible, what fraction of the last box is empty?

we know that

The maximum number of cupcakes per box is 4

The first three boxes have 4 cupcakes

The last box has

14-3(4)=2\ cupcakes

The fraction of the box that is empty is equal to the number of cupcakes missing to fill the box divided by the cupcake capacity of the box

\frac{2}{4}=\frac{1}{2}

Part c) How many more cupcakes are needed to fill this box

Subtract the number of cupcakes in the box from the cupcake capacity of the box

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The cupcake capacity of the box is 4

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8 0
3 years ago
I need help please!!! thank you so much to the person who is going to help me.
zaharov [31]

Answer:

22x - 14

Step-by-step explanation:

pretty sure its like this..

3(4x-3)+5(2x-1)

= 3×4x + 3×(-3) + 5×2x + 5×(-1)

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and according to the rules of multiplying negative by positive...

= 12x - 9 + 10x - 5

combine like terms using the symbols on its left

= 12x + 10x - 9 - 5

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8 0
2 years ago
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Answer:

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Step-by-step explanation:

The perimeter of a polygon is the sum of the lengths of its sides. A square has 4 sides, all the same length. We can either add up the side lengths, or we can recognize that multiplication of one side's length by 4 is a useful alternative.

  perimeter = 4 × (3 3/4 in)

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Which expression is equivalent to –2(5x – 0.75)?
zzz [600]
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4 0
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