For the investment with interest compounded annually, find the final balance using the formula A = P(1 + r)t. $600 for 4 years at 5%

A.
$120

B.
$129.30

C.
$720

D.
$729.30

Answers

Answer 1
Answer: A=P(1+r)^t

A=amount
P=presnne amount
R=rate
T=time in years

P=600
T=4
R=5%=0.05

A=600(1+0.05)^4
A=600(1.05)^4
A=729.304

D is answer

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3x-150=1778. Help me please I need help bad

Answers

the answer i think is x=1928 over 3
3x -150 = 1778
3x =1778 +150
3x = 1928
x =1928/3
x= 642 .6666666666667

Please help me! Explain why Hank's reasoning is not correct.
Hank: The y-intercept of a linear function is the same as the first term of an arithmetic sequence.

Answers

Hank's reasoning is being questioned for assuming that all sequences start with 1 and that the y-intercept of a linear function is always at x=0.

Given that,

Hank's reasoning is being discussed.

The claim is that Hank's reasoning is incorrect.

The reasoning involves sequences that begin with the term number 1, where x=1.

By convention,

The first term of a sequence starts with n = 1 instead of n = 0.

This is so n = 1 matches with 1st,

n = 2 matches with 2nd, and so on.

In contrast,

The y-intercept always occurs when x = 0.

So y = 3x+5 has a y-intercept of 5 when you plug in x = 0.

An arithmetic sequence:

f(n) = 2n+7 has its first term when n = 1.

So, the first term would be f(1) = 2(1)+7=9 instead of 7 as Hank claims.

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The complete question is:

Hank's reasoning is incorrect because all sequences begin with the term number 1, which translates to x=1.

The y-intercept of a linear function is when x=0.

By convention, the first term of a sequence starts with n = 1 instead of n = 0. This is so n = 1 matches with 1st, n = 2 matches with 2nd, and so on.

In contrast, the y intercept always occurs when x = 0. So something like y = 3x+5 has a y intercept of 5 when you plug in x = 0.

An arithmetic sequence like f(n) = 2n+7 has its first term when n = 1. So the first term would be f(1) = 2(1)+7 = 9 instead of 7 as Hank claims.

Let f(x) = 7x - 13. Find f-1(x).

Answers

f(x)=7x-13 \n \n y=7x-13 \ \ \ |+13 \ny+13=7x \ \ \ |/ 7 \nx=(1)/(7)y+(13)/(7) \n \n\boxed{f^(-1)(x)=(1)/(7)x+(13)/(7)}

Kathryn ran 14 miles more than Heather last week. Kathryn ran 21.1 miles. How many miles did Heather run?

Answers

If Kathryn ran 21.1 miles and she ran 14 more miles more than heather then you just add 14 and 21.1

What is the order of the numbers from least to greatest

Answers

Answer:

-3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if this answer is wrong.

Answer:

-3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3  

Step-by-step explanation:

hope this helps! have a great day!

D= 5/6 (F+G) solve for G

Answers

D = 5/6(F + G)
(6 * D)/5 = F + G
(6 * D - F)/5 = G