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olya-2409 [2.1K]
4 years ago
11

Assume all variables and groupings are nonzero real numbers.

Mathematics
1 answer:
8_murik_8 [283]4 years ago
6 0
ab^{-4}c^{-3}=\\
\frac{a}{b^4c^3}


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Ted borrowed $100 from 2 years at a 10% interest rate. How much interest will he pay on the loan? What will be the total amount
mr_godi [17]

Answer:

Interest = $20

Amount due = $120

Step-by-step explanation:

This is a Simple Interest problem. Simple interest is given as:

I = (P * R * T) / 100

Where I = interest

P = principal or amount loaned

R = rate of interest

T = time elapsed

Ted borrowed $100 from 2 years at a 10% interest rate.

This means that P = $100, R = 10%, T = 2 years.

Hence, the interest will be:

I = (100 * 10 * 2) / 100

I = 2000 / 100

I = $20

The interest after two years will be $20.

Therefore, the total amount due at the end of the loan is:

A = P + I

A = 100 + 20 = $120

The amount due is $120.

5 0
4 years ago
The function y=e−3x is vertically stretched by a factor of 4, reflected across the y-axis, and then shifted up 5 units, find the
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

y = e^(-3x)

Stretch by factor of 4

y = 4e^(-3x)

Reflect across y axis

y = 4e^(3x)

Shift up by 5

y = 4e^(3x) + 5

8 0
3 years ago
The price of a bicycle was increased from $300 to $450. What percent of the original price is the increased price?
mezya [45]
It increased with 150%
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Rearrange the formulae to make x the subject:<br> ay/x - dx= wx <br> Thanks in advance
Lina20 [59]

Answer:

\frac{ay}{x}  - dx = wx

multiply x through out:

ay -  {dx}^{2}  = w {x}^{2}  \\  {wx}^{2}  +  {dx}^{2}  = ay

factorise out x²:

{x}^{2} (w + d) = ay \\  {x}^{2}  =  \frac{ay}{w + d}

take square root on both sides:

\sqrt{ {x}^{2} }  =  \sqrt{ \frac{ay}{w + d} }  \\  \\ x =  \sqrt{ \frac{ay}{w + d} }

3 0
3 years ago
Read 2 more answers
Jeff Morton drives 140 miles in 4 hours what is the rate of change
neonofarm [45]

Answer:

35

Step-by-step explanation:


8 0
4 years ago
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