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Talja [164]
3 years ago
6

olga worked 37.5 hours last week qt the library and earned $12.50 an hour. if she gets a $2.50 per hour raise, how many hours wi

ll she have to work to make the same amount of money as she did last week?
Mathematics
1 answer:
Airida [17]3 years ago
3 0
(37.5)(12.5)=x(15)
468.75=15x
x=31.25

she will have to work 31.25 hours in order to earn the same amount of money
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You take out $50,000 for loans during your college career. You must pay it back with 7% APR for 20 years, making monthly payment
Ad libitum [116K]

Answer:

The monthly payment for the loan amount for 20 years is $806.167

Step-by-step explanation:

The principal loan amount= $ 50,000

The rate of interest = 7 %

the time period of loan = 20 years = 20 × 12 = 240 months

let the amount after 20 years = $ A

<u>From Compounded method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm Time}

or, A = 50,000 × (1+\dfrac{\textrm 7}{100})^{\textrm 20}

or, A = 50,000 × (1.07)^{20}

Or, A = 50,000 × 3.8696

∴ Amount = $ 193,480

So, The amount after 20 years = $ 193,480

The monthly payment amount = $ \frac{193480}{240} = $ 806.167

Hence The monthly payment for the loan amount for 20 years is $806.167 Answer

3 0
3 years ago
If a = 7 - 4√3, find the value of a + 1/a​
irga5000 [103]

Answer:

Step-by-step explanation:

To calculate a+1/a, we first need to calculate for a.

a = 7 - 4 * \sqrt[2]{3}

square root of 3 = 1.73

a = 7 - 4 * 1.73

a = 7 - 6.9

a = 0.1

0.1 + 1 / 0.1 = 0.1 + 10 = 10.1

Now, in case 4 wasn't being multiplied with the square root of 3, and instead, it was four root of 3, I am gonna do the calculations again:

a = 7 - \sqrt[4]{3}

a = 7 - 1.31

a = 5.69

5.69 + 1 / 5.69 = 5.69 + 0.17 = 5.86

Hope I Helped!

5 0
2 years ago
PLEASE HURRY What is the difference of the fractions? Use the number line to help find the answer 1/5 - 3/4
likoan [24]

Answer:

.55 difference or 11/20

Step-by-step explanation: hope this helps

(Don't know what the number line looks like)

Convert both to decimals, then subtract

5 0
3 years ago
Read 2 more answers
SAT scores are normed so that, in any year, the mean of the verbal or math test should be 500 and the standard deviation 100. as
vovangra [49]

Answer:

a) P(X>625)=P(\frac{X-\mu}{\sigma}>\frac{625-\mu}{\sigma})=P(Z>\frac{625-500}{100})=P(Z>1.25)

P(Z>1.25)=1-P(Z

b) P(400

P(-1

P(-1

c) z=-0.842

And if we solve for a we got

a=500 -0.842*100=415.8

So the value of height that separates the bottom 20% of data from the top 80% is 415.8.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the SAT scores of a population, and for this case we know the distribution for X is given by:

X \sim N(500,100)  

Where \mu=500 and \sigma=100

We are interested on this probability

P(X>625)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>625)=P(\frac{X-\mu}{\sigma}>\frac{625-\mu}{\sigma})=P(Z>\frac{625-500}{100})=P(Z>1.25)

And we can find this probability using the complement rule and with the normal standard table or excel:

P(Z>1.25)=1-P(Z

Part b

We are interested on this probability

P(400

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(400

And we can find this probability with this difference:

P(-1

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-1

Part c

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.8   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.2 of the area on the left and 0.8 of the area on the right it's z=-0.842. On this case P(Z<-0.842)=0.2 and P(Z>-0.842)=0.8

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.842

And if we solve for a we got

a=500 -0.842*100=415.8

So the value of height that separates the bottom 20% of data from the top 80% is 415.8.  

8 0
3 years ago
Donte scored 55 on his mastery exam. What percent did Donte score?
masha68 [24]

Answer: See explanation

Step-by-step explanation:

Your question isn't complete. First and foremost, to be able to solve this, we need to know the total marks of the examination.

Let's assume that the total marks for the exam is 80. Since Donte scored 55 on his mastery exam, the percent that he score will be:

= 55/80 × 100

= 68.75%

6 0
3 years ago
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