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4 years ago

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Homework Help?

1 answer:

elena-s [515]4 years ago

7 0

<span>We are given:

Monthly payment = $1,918.42 on a fixed rate mortgage
The number of years = 30 years.

We need to determine the total principal and interest

The total principal is
P = </span>$1,918.42 (1 + i)^30
<span>C)$57,553

Use the same formula to solve the other items</span><span />

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What is the inverse operation of x^2=9

Burka [1]

Answer:

log2(9) = 3

Step-by-step explanation:

Please check logarithm

6 0

4 years ago

Roman55 [17]

A(n) = a(n-1)+9 means that we add 9 to the previous term to get the next term. Therefore the common difference is d = 9 this sequence is arithmetic.
The first term is a(1) = 21

Plug those two values into the arithmetic formula below and simplify
a(n) = a(1) + d * [ n - 1 ]
a(n) = 21 + 9 * [ n - 1 ]
a(n) = 21 + 9*n + 9*(-1)
a(n) = 21 + 9n - 9
a(n) = 9n+12

Answer is choice D

3 0

4 years ago

The equation p(t) = 1.e represents a

zvonat [6]

Answer:

(b), (d) and (e)

Step-by-step explanation:

Given

$p(t) = 1 * e^t$

See attachment for $y = p(t)$

Required

Select true statements from the given options

(a) $\ln(30)$ = days the bacteria reaches 30000

We have:

$p(t) = 1 * e^t$

In this case:

$t = \ln(30)$ and $p(t) = 30000$

So, we have:

$30000 = 1 * e^{\ln(30)}$

$30000 = e^{\ln(30)}$

Using a calculator, we have:

$e^{\ln(30)} = 30$

So:

$30000 = 30$

The above equation is false.

(a) is not true

(b) The graph shows that $\ln(20) \approx 3$

We have:

$p(t) = 1 * e^t$

Let t = 3

So;

$p(3) = 1 * e^3$

From the graph, $p(3) = 20$

So:

$20 = 1 * e^3$

$20 = e^3$

Take natural logarithm of both sides

$\ln(20) = \ln(e^3)$

This gives:

$\ln(20) = 3$

(b) is true

(c) $\ln(t) = y$ is the logarithm form of $y = e^t$

We have:

$y = e^t$

Take natural logarithm of both sides

$\ln(y) = \ln(e^t)$

This gives:

$\ln(y) = t$

$\ln(y) = t$ $\ne$ $\ln(t) = y$

(c) is false

(d) $e^4 > 50$ and $\ln(50) < 4$

From the graph, we have:

$e^4 = 54$ --- rough readings

This implies that:

$e^4 > 50$ is true

Because $54 > 50$

Take natural logarithm of both sides

$\ln(54) > \ln(50)$

Rewrite as:

$\ln(50) < \ln(54)$

We have:

$e^4 = 54$

Take natural logarithm of both sides

$\ln(e^4) = \ln(54)$

$4 = \ln(54)$

$\ln(54) = 4$

Substitute $\ln(54) = 4$ in $\ln(50) < \ln(54)$

$\ln(50) < 4$

(d) is true

(e) The graph shows that $10 \approx \ln(2.3)$

We have:

$p(t) = 1 * e^t$

Let t = 2.3

So;

$p(2.3) = 1 * e^{2.3}$

From the graph,

$p(2.3) = 10$ ---- rough readings

So:

$10 = 1 * e^{2.3}$

$10 = e^{2.3}$

Take natural logarithm of both sides

$\ln(10) = \ln(e^{2.3})$

This gives:

$\ln(10) = 2.3$

(e) is true

4 0

3 years ago

an 8-ounce serving of apples contains 8% of your daily vitamin c. how many ounces of apples would you need to get 100% of your d

Goshia [24]

You would need 100 ounces of apples.

3 0

3 years ago

Read 2 more answers

Which four consecutive multiples of 6 have a sum of 204?

solmaris [256]

Answer: 34

Explanation: 204 divided by 6

8 0

3 years ago