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3 years ago

Olcquations

Mathematics

1 answer:

zaharov [31]3 years ago

8 0

Answer:

$600 at 8%
$2400 at 3%

Step-by-step explanation:

You have the right numbers, but the wrong accounts.

Let x represent the amount invested at 8% (the highest rate). Then the total interest is ...

.08x +.03(3000 -x) = .04(3000)

.05x = .01(3000) . . . . subtract .03(3000)

x = 3000/5 = 600

Matthew invested $600 at 8%, $2400 at 3%.

_____

Comment on checking your answer

You may notice that the overall interest rate is 4%, closer to 3% than to 8%. That means more of the money must be invested at 3% than at 8%.

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Whitepunk [10]

Answer:

Option (3)

Step-by-step explanation:

In a right triangle,

Cosine rule → $cos(\theta)=\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

Sine rule → $sin(\theta)=\frac{\text{Opposite side}}{\text{Hypotenuse}}$

In the given triangle,

By cosine rule,

$cos(h)=\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

$cos(h)=\frac{z}{x}$

Or cos(h°) = z ÷ x

Therefore, Option (3) will be the answer.

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Alekssandra [29.7K]

Answer:

Step-by-step explanation:

its not too complicated, look

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Or 12 equals 2 times 6

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3 years ago

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Bess [88]

Is irrational because Star with number more and 1.

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3 years ago

What single percentage change is equivalent to a 7% decrease followed by a 22% decrease?

quester [9]

Answer:

The single percentage change is 27.46%

Step-by-step explanation:

Percentage

Suppose x is the initial number. It will be decreased by 7%.

(7/100)x=0.07x

x - 0.07x = 0.93x

This last number will be decreased by 22%.

0.93x*(22/100)=0.2046x

0.93x-0.2046x=0.7254x

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100% - 72.54% = 27.46%

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