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2 years ago

Lyle has a mortgage of $96,000 at 7.75% for 30 years. Find the total interest.

Mathematics

1 answer:

Sonja [21]2 years ago

8 0

Answer:

The total interest is $I=\$223,200$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the final Interest Value

P is the mortgage

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=30\ years\\ P=\$96,000\\r=0.0775$

substitute in the formula above

$I=96,000(0.0775*30)$

$I=\$223,200$

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Write an exponential equation in the form y = abx whose graph passes through points (4, 8) and (6, 32).

Artist 52 [7]

Answer:

Option C.

Step-by-step explanation:

The general exponential equation is

$y=ab^x$

It is given that the graph of exponential function passes through points (4,8) and (6,32). It means the equation of exponential function must be satisfied by these points.

$8=ab^4$ ...(1)

$32=ab^6$ ...(2)

Divide equation (2) by equation (1).

$\dfrac{32}{8}=\dfrac{ab^6}{ab^4}$

$4=b^2$

Taking square root on both sides.

$2=b$

Put b=2 in (1).

$8=a(2)^4$

$8=16a$

$\dfrac{8}{16}=a$

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Substitute a=0.5 and b=2 in the given general exponential equation.

$y=0.5(2)^x$

Therefore, the correct option is C.

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2 years ago

A coin contains 1.25 grams of nickel and 3.75 grams of copper, for a total weight of 5 grams. What percentage of the metal in th

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So,

To find the percentage that the copper comprises, just divide the amount of copper by the total amount of metal in the coin. In this case, we will change the denominator so that it is 100, which can easily be converted into a percentage, which is really just a fraction out of 100.

$\frac{3.75}{5} = \frac{7.50}{10} = \frac{75}{100}$

75%

75% of the metal in the coin is copper.

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Answer:

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