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Marina86 [1]
3 years ago
15

4. Stacey currently has an account balance of $1,007.78. Her Initial deposit on the account was $616 and it earned 5.3% simple i

nterest. How long has Stacey held the account? (2 points)
7 years
31 years
12 years
19 years
Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:

12 Years

Step-by-step explanation:

Simple interest is calculated as I = Prt, where P is the principal (amount of money invested), r = rate of interest written as decimal, and t = time

The amount started as P and incresed by Prt, so

P + Prt = 1007.78

616 + (616)(0.053)t = 1007.78

Now you need to solve for t:

Subtract 616 from both sides and simplify:

32.648t = 391.78

Divide both sides by 32.648:

t = 12

Answer: 12 years

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Peter runs 3 over 4mile on Monday and 1 1 over 8miles on Tuesday. How many total miles did he run? Use mix number . ANS. ______
Tema [17]
\begin{gathered} Monday=\frac{3}{4} \\ \text{Tuesday}=\frac{11}{8} \end{gathered}

You should sum the fraction

Next step mix number

2\text{ }\frac{1}{8}

4 0
1 year ago
In parallelogram LMNO, what is the measure of angle N?<br><br> 50°<br> 70°<br> 110°<br> 130°
belka [17]

we know that

In a parallelogram opposite angles are congruent and consecutive angles are supplementary.

So

m∠O=m∠M

m∠L=m∠N

m∠O+m∠L=180

Step 1

Find the value of x

(x+20)+(2x+10)=180\\ 3x+30=180\\ 3x=180-30\\ x=\frac{150}{3} \\ \\ x=50\ degrees

Step 2

Find the value of angle L

m∠L=(2x+10)

m∠L=(2*50+10)

m∠L=110\ degrees

Remember that

m∠N=m∠L

m∠N=110\ degrees

therefore

the answer is

the measure of the angle N is equal to 110\ degrees





4 0
3 years ago
Read 2 more answers
Which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)?
vodomira [7]
The equation is y=-x+5
4 0
3 years ago
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A simple random sample of 60 items resulted in a sample mean of 65. The population standard deviation is 14. a. Compute the 95%
bazaltina [42]

Answer:

The 95% confidence interval for the population mean is between 61.5 and 68.5.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{14}{\sqrt{60}} = 3.5

The lower end of the interval is the sample mean subtracted by M. So it is 65 - 3.5 = 61.5

The upper end of the interval is the sample mean added to M. So it is 65 + 3.5 = 68.5

The 95% confidence interval for the population mean is between 61.5 and 68.5.

6 0
3 years ago
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Is the fraction 12/98 a perfect square??​
quester [9]

Answer:

No

Step-by-step explanation: By dividing 12/98 you would get a decimal(0.12244897959) by this not being a whole number it can not be a perfect square.

6 0
2 years ago
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