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chubhunter [2.5K]
3 years ago
5

Monica bought a new jacket that was 40% off the original price if the amount of the discount was $24,what was the original price

of the jacket?
Mathematics
2 answers:
EastWind [94]3 years ago
4 0

Answer:

$60

Step-by-step explanation:

40% of x (original price) is $24

0.4 · x = 60

So the original price is $60

stich3 [128]3 years ago
3 0

Answer:

To get a discount price from full price you would multiply the full price by the discount (in this case .40) and to get the full price from discount price you would divide the discount price by 1- discount

So 24/.6= 40

Step-by-step explanation:

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9+x=12 Can you guys please tell me the answer
nirvana33 [79]

Answer:

X=3

Step-by-step explanation:

9+x=12

x=12-9

so x is 3

6 0
3 years ago
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Jimmy invest $16,000 in an account that pays 7.03% compounded quarterly. How long (in years and months) will it take for his inv
Vladimir [108]
To solve this we are going to use the compound interest formula A=P(1+ \frac{r}{n})^{nt}
where:
P is the investment
r is the interest rate in decimal form
n is the number of times the interest is compounded per year
t is the time in years
A is the amount after t years 

First, lets convert the interest rate to decimal dividing it by 100%:
r= \frac{7.03}{100} =0.0703
Next, lets find n. Since we know that the interest is compounded every 4 months (quarterly), it will be compounded \frac{12}{4} =3 times in a year, so n=4.
We also know that A=23000 and P=16000, so lets replace all the quantities into our compound interest formula:
25000=16000(1+ \frac{0.0703}{3})^{3t}
25000=16000(1.0234)^{3t}

Notice that the the number of years t is in the exponent, so we have to use logarithms to bring it down. But first lets divide both sides by 16000 to isolate the  exponential expression:
\frac{25000}{16000} =(1.0234)^{3t}
(1.0234)^{3t} = \frac{25}{16}
ln(1.0234)^{3t} =ln( \frac{25}{16} )
t= \frac{ln( \frac{25}{16}) }{3ln(1.0234)}
t=6.43

Now that we know t=6.43, the last thing to do is convert 0.43 years to months:
(0.43 years)( \frac{12months}{1year} )=5.16months

We can conclude that Jimmy's investment will take 6 years and 5 months to reach $25,000.
6 0
3 years ago
Kevin needs to replace four rectangular
LekaFEV [45]
To find the measure of a singular window we need to find the area which is length times width. so that's 2.75(4) which is 11 square feet. However, Kevin has four windows which means he needs 11(4) square feet for all the windows. Which would mean Kevin needs 44 sqaure feet.
5 0
3 years ago
NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t
Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

h(t)=-4.9t^2+121t+283

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

h(t)=0\implies-4.9t^2+121t+283=0

Using the quadratic formula, the solution for our problem is

\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have

h^{\prime}(t)=-9.8t+121

The root is

-9.8t+121=0\implies t=\frac{121}{9.8}=12.347

Then, the maximum height is

h(12.347)=1029.99

1029.99 meters above sea level.

6 0
1 year ago
What is 1 divided by 1/5
masha68 [24]
Your answer to this is:
0.2
3 0
4 years ago
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