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3 years ago

I really need these answered!

Mathematics

1 answer:

Akimi4 [234]3 years ago

6 0

Answer:

Step-by-step explanation:

#1) $\arcsin \left(0.64958\right)=0.70703\dots \quad \begin{pmatrix}\mathrm{Degrees:}&40.51^{\circ \:}\end{pmatrix}$

∡C =62.49

$\frac{\left(\sin \left(27^{\circ \:}\right)\right)}{3}=\frac{\sin \left(54^{\circ \:}\right)}{x}\quad :\quad x=\frac{3\left(\sqrt{5}+1\right)}{\sin \left(27^{\circ \:}\right)\cdot \:4}\quad \left(\mathrm{Decimal}:\quad x=5.34603\dots \right)$

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You have $4000 to invest. If you'd like to earn exactly $638

Natali [406]

Answer:

8%: $1554

21%: $2446

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$ .

In this question:

Two earnings, that i am going to call A(8% per year) and B(21% per year).

Two principals, for A i am going to call P and for B it is the rest, so 4000 - P.

One year, so $t = 1$

8% interest, so $r = 0.08$

Earnings A.

$A = P*I*t$

$A = 0.08P$

21% interest, so $r = 0.21$

Principal (4000 - P).

$B = P*I*t$

$B = 0.21*(4000 - P)$

You'd like to earn exactly $638 in interest each year.

This means that $A + B = 638$

Then

$B = 638 - A$

Now we have to solve the following system:

$A = 0.08P$

$638 - A = 0.21*(4000 - P)$

So, on the second equation:

$A = 638 - 0.21*(4000 - P)$

Replacing on the first:

$A = 0.08P$

$638 - 0.21*(4000 - P) = 0.08P$

$638 - 840 + 0.21P = 0.08P$

$0.21P - 0.08P = 840 - 638$

$0.13P = 202$

$P = \frac{202}{0.13}$

$P = 1553.8$

Rounding up to the nearest integer

P = 1554.

So on A, the 8% interest, you invest $1554.

On B, the 21% interest, you invest 4000 - 1554 = $2446.

5 0

3 years ago

Someone pls help me ! i rlly need help

DerKrebs [107]

Answer:

Option D is the correct answer.

Step-by-step explanation:

Coefficients od dividend = (4, - 17, - 15)

Dividend $=4x^2 - 17x - 15$

Divisor x = 5 =>x-5= 0

Coefficients of Quotient = (4, 3)

Quotient $=4x + 3$

Remainder = 0

Since,

$Dividend = Divisor \times quotient + Remainder\\\therefore 4x^2 - 17x - 15 = (x - 5)\times (4x + 3) +0 \\\therefore 4x^2 - 17x - 15 = (x - 5)\times (4x + 3) \\\therefore( 4x^2 - 17x - 15) \div (x - 5) = (4x + 3)$

8 0

3 years ago

Which fraction represents the ratio 4:40 in simplest form

iris [78.8K]

$4:40=\frac{4\ units}{40\ units}=\frac{4:4}{40:4}=\frac{1}{10}=\boxed{1:10}$

4 0

4 years ago

Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form)

UNO [17]

Our equation is y = 6x - 5 when simplified. In order to be parallel, the equation for the answer must also have a slope of 6x. This rules out options C and D.

Now just plug in 4 for the x-value for each one to get your answer. A little mental math and I can already tell you it's option A.

6(4) - 14 = y
24 - 14 = y
10 = y

10 = 10

Whereas for option B:

6(4) + 14 = y
24 + 14 = y
38 = y

38 ≠ 10

Option A is your answer.

5 0

3 years ago

At Factory Y, a worker's wages for a 40-hour week is $200. She is paid 10% of her regular weekly wages for every hour that she w

Leni [432]

Answer:

She worked 18 hours of overtime.

Step-by-step explanation:

If she works 40 hours per week and gets $200, subtract $380 - $200 = $180.

If you multiply $180 by 0.1 (which is 10% converted to a decimal), you get 18 which is your final answer.

3 0

3 years ago