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3 years ago

The ordered pairs (12, 36), (15, v) represent a proportional relationship. Find the value of V

Mathematics

1 answer:

Mademuasel [1]3 years ago

7 0

Answer: v = 45

Step-by-step explanation:

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Taylor writes an expression with 5 terms. All 5 terms are like terms. How many terms are in the equivalent expression with the l

Volgvan

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2 years ago

Apply the zero product property to solve the equation below:<br> x (x + 2) = 0

True [87]

Answer:

0(-2+2)=0

Step-by-step explanation:

x=0

x=-2

0(-2+2)=0

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2 years ago

Jeff decided to purchase a house, his mortage is a 30-year loan at 4.1 % compounded monthly. The final purchase price was $150,0

vredina [299]

Answer:

$711.23

Step-by-step explanation:

We assume the entire closing cost went to reducing the principal of the loan. Then the amount borrowed was $147,192.

<h3>Monthly payment</h3>

The amortization formula tells you the monthly payment.

A = P(r/12)/(1 -(1 +r/12)^(-12t))

P is the principal, r is the annual rate, and t is the number of years.

The monthly payment is ...

A = $147,192(0.041/12)/(1 -(1 +0.041/12)^-360) ≈ $711.23

Jeff's monthly payment is $711.23.

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2 years ago

Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th

Harman [31]

Answer: 41.5 min

Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=22 g$ is the final amount of the radioactive element

$A_{o}=800 g$ is the initial amount of the radioactive element

$t$ is the time elapsed

$h=8 min$ is the half life of the radioactive element

So, we need to substitute the given values and find $t$ from (1):

$22 g=(800 g) 2^{\frac{-t}{8 min}}$ (2)

$\frac{22 g}{800 g}=2^{\frac{-t}{8 min}}$ (3)

$\frac{11}{400}=2^{\frac{-t}{8 min}}$ (4)

Applying natural logarithm in both sides:

$ln(\frac{11}{400})=ln(2^{\frac{-t}{8 min}})$ (5)

$-3.593=-\frac{t}{8 min}ln(2)$ (6)

Clearing $t$ :

$t=41.46 min \approx 41.5 min$ This is the time elapsed

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2 years ago