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3 years ago

A baby weighs 7 pounds at birth. the table shows the baby's weigh after each month of its birth, up to the sixth month

Mathematics

1 answer:

Alexus [3.1K]3 years ago

6 0

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Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned i

jolli1 [7]

Answer:

The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000

Step-by-step explanation:

The given parameters are;

The total amount Hank invested = $20,000

The interest earned in one year = $1640

Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%

Let the part invested at 7% = X and the part invested at 10% = Y, we have;

7% of X + 10% of Y = $1640 which gives;

0.07×X + 0.1×Y = $1640.....................(1)

X + Y = $20,000.................................(2)

Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;

X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640

X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600

0.3·X = $3,600

X = $3,600/0.3 = $12,000

X = $12,000

Y = $20,000 - X = $20,000 - $12,000 = $8,000

Y = $8,000

Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.

7 0

3 years ago

Read 2 more answers

What are two numbers when multiplied get -40 and when added get 6

valentina_108 [34]

10 and -4. You multiply 10 times -4 to get -40 and you add 10 and -4 to get 6

8 0

3 years ago

Parallelogram abcd is divided into two triangles along diagonal ac. if you know the area of the parallelogram, how do you find t

Lera25 [3.4K]

Answer :- Just try area/2 or half the area of the triangle

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3 years ago

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In △PQR, find the measure of ∡P. (A)30.4° (B)59.6° (C)35.9° (D)54.1°

Kobotan [32]

ANSWER

(D)54.1°

EXPLANATION

The measure of angle P can be calculated using the cosine ratio.

We know the adjacent side to angle P to be 33.8 and the hypotenuse of the right triangle is 57.6 units.

$\cos(P) = \frac{adjacent}{hypotenuse}$

$\cos(P) = \frac{33.8}{57.6}$

Take cosine inverse,

$P= \cos ^{ - 1} (\frac{33.8}{57.6} )$

$P=54.07 \degree$

To the nearest tenth, the measure of <P is 54.1°

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3 years ago

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If 16 to the power of x is 1/64 . what is x

Anika [276]

Answer:

Step-by-step explanation:

$16^{x}=\frac{1}{64}\\\\(4^{2})^{x}=64^{-1}\\\\(4^{2})^{x}=(4^{3})^{-1}\\\\4^{2x}=4^{-3}\\\\$

Compare the powers now

2x = -3

x = -3/2

6 0

4 years ago