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SashulF [63]
3 years ago
7

You earn $10.00hr. you invest $4,000.00 at an interest rate of 5% apr for a year. how much interest did that savings earn in a y

ear in terms of hours of work?
A.)100 hrs
b.)20hrs
c.)40hrs
d.)400 hrs.
Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
8 0

Answer:

The correct option is b.

Step-by-step explanation:

It is given that you earn $10.00 per hr.

Principal amount = $4,000.00

Rate of interest = 5%

Time = 1 year

Formula for simple interest:

I=P\times r\times t

where, P is Principal, r is rate of interest and t is time in years.

Substitute P=4000, r=0.05 and t=1 in the above formula.

I=4000\times 0.05\times 1

I=200

The interest earn in a year is $200.

1 hr = $10.00

\frac{200}{10}=20

The interest earn in a year in terms of hours of work is 20 hrs.

Therefore the correct option is b.

Vedmedyk [2.9K]3 years ago
5 0
You are investing $2,000 fro 3 months and the APR is 4% so you will get one quarter of the APR for a year. For the year 4% interest is $2,00 x .04 or $80 for the year. # months is 1/4 of a year so divide $80 by 4 to get the interest fro 3 months which is 20 so the answer is B.
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Solve 5(2^x+4)=15 round to the nearest thousandth
Novosadov [1.4K]

Answer:

Step-by-step explanation:

Begin by dividing by 5

2x + 4 = 3            

Is this written as 2^(x + 4) = 3? I think it is.

Take the log of both sides

log 2^(x + 4) = log(3)

(x + 4) * log(2) = log 3

log 2 = 0.30103

log 3 = 0.47712

(x + 4) = log2 / log3

x + 4 = 0.63093               Add 4 to both sides

x = -3.369                        Rounded to the nearest thousandth

====================

If you mean the question exactly as it is written (the 4 is not part of the power)

5(2^x + 4) = 15

2^x + 4 = 3

2^x = 3 - 4

2^x = - 1

This can't be done 2 to any power should be >0.

if x>0 then this will give an ever increasing number

if xK0 then this will give an ever decreasing answer but still greater than 0.

No value will make 2^x go to something minus.

If I have misread this in some way, leave a note and I will get back to you.

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3 years ago
PLEASE HELP WITH THIS CONDITIONAL PROBABILITY QUESTION AND PLEAS COULD YOU SHOW A STEP BY STEP EXPLANATION.
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3 years ago
.In the Star Wars franchise, Yoda stands at only 66 centimeters tall. Suppose you want to see whether or not hobbits from the Lo
r-ruslan [8.4K]

Answer:

We conclude that the average height of hobbit is taller than Yoda.

Step-by-step explanation:

We are given that in the Star Wars franchise, Yoda stands at only 66 centimetres tall.

From a sample of 7 hobbits, you find their mean height \bar X = 80 cm with standard deviation s = 10.8 cm.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = average height of hobbit.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 66 cm      {means that the average height of hobbit is shorter than or equal to Yoda}

Alternate Hypothesis, H_A : \mu > 66 cm      {means that the average height of hobbit is taller than Yoda}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about population standard deviation;

                     T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}  ~ t_n_-_1

where, \bar X = sample mean height = 80 cm

             s = sample standard deviation = 10.8 cm

             n = sample of hobbits = 7

So, <u><em>test statistics</em></u>  =  \frac{80-66}{\frac{10.8}{\sqrt{7}}}  ~ t_6

                              =  3.429

The value of t test statistics is 3.429.

<em>Now, at 0.01 significance level the t table gives critical value of 3.143 for right-tailed test. Since our test statistics is more than the critical value of t as 3.429 > 3.143, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

<em />

Therefore, we conclude that the average height of hobbit is taller than Yoda.

3 0
3 years ago
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