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icang [17]
3 years ago
14

Which of the following is a function equivalent to f(x) = 5(1.9)3x?

Mathematics
2 answers:
Sophie [7]3 years ago
6 0
B. f(x)=5(6.86x) this the correct anwser
Firlakuza [10]3 years ago
5 0

Answer:

The correct option is C.

Step-by-step explanation:

The given function is

f(x)=5(1.9)^{3x}

Using the properties of exponent.

f(x)=5((1.9)^3)^{x}                                  [\because (x^m)^n=x^{mn}]

f(x)=5(6.859)^{x}                  [\because (1.9)^3=6.859]

f(x)=5(6.86)^{x}

The function f(x)=5(6.86)^{x}  is equivalent to the given function.

Therefore the correct option is C.

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The Bainter family is moving to a new town and needs a place to live. The Bainters are considering renting or purchasing a home
OlgaM077 [116]

The total first-year cost when purchasing the home is <u>a) 37,041.84.</u>

<h3>What is a mortgage cost?</h3>

The mortgage cost includes the principal, interest, taxes, and insurance costs.

While the principal repayment pays down the outstanding mortgage loan, the interest is the borrowing or finance cost.

The interest amount depends on the interest rate and the mortgage loan balance.

<h3>Data and Calculations:</h3>

List price = $150,000

Down payment = $30,000

Mortgage loan = $120,000 ($150,000 - $30,000)

Mortgage period = 30 years

Interest rate = 4.2%

Annual mortgage payment = $7,041.84 (determined using an online finance calculator as follows)

First-year cost for purchasing the home = $37,041.84 ($7,041.84 + $30,000)

Home Price = $150,000

Down Payment = $30,000

Loan Term = 30 years

Interest Rate = 4.2%

<u>Results:</u>  

Monthly Pay:   $586.82

Annual payment = $7,041.84 ($586.82 x 12)

House Price $150,000.00

Loan Amount $120,000.00

Down Payment $30,000.00

Total of 360 Mortgage Payments $211,255.42

Total Interest $91,255.42

Mortgage Payoff Date Jun. 2052

<h3>Question Completion:</h3>

The home for sale is listed at $150,000.00. They have $30,000.00 for a down payment and are qualified for a fixed-rate 30-year mortgage with an annual interest rate of 4.2%. • The rental home is currently 8900.00 per month, with rent expected to increase by approximately $75.00 every year.

Thus, the total first-year cost when purchasing the home is <u>a) 37,041.84.</u>

Learn more about mortgage costs at brainly.com/question/22846480

#SPJ1

6 0
2 years ago
(2.07) The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F: C = 5
Vlad [161]
C = 5/9(F - 32)....multiply both sides by 9/5
9/5C = F - 32...add 32 to both sides
9/5C + 32 = F
8 0
3 years ago
Read 2 more answers
Helpp, since this question is a bit hard, ill give brainliest and 20 pts.
Morgarella [4.7K]

Step-by-step explanation:

A. When dealing with large numbers, sometimes it's easier to write them in a form of exponents of number ten. The value of the exponent shows how many times we multiply 10 by itself. That means that 10^3 is 10•10•10 or that 10^6 is 10•10•10•10•10•10.

So, when finding how many times on number is greater then the other, we need to divide them. We divide 8x10^6 by 2x10^5. It is done by dividing the numbers and subtracting the exponents; 8/2=4 and 10^6/10^5 is 10^6-5=10^1. So the correct answer is 4x10^1 which is 4x10, and that is 40.

B. Now, we have a total number of coins (2.25x10^5), and diametar of a coin (19mm = 19x10^-6km). Our task is to calculate the distance across which the coiks laid side-by-side would expand. We can find this by multiplying the number of coins with a diametar of single penny, 2.25x10^5•19x10^-6. Multiplying is done by multiplying the numbers (2.25x19=42.75) and adding the exponents (5+(-6)=5-6=-1). So, the distance is 42.75x10^-1km, which equals to 4.275 km. Obviously, this is less then the stated 5 km given in the text, so the reportet's statement is false.

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Could i have a photo?
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