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Sergio [31]
3 years ago
13

Find the sum of the first 21 terms of the sequence 5,9, 13, 17, 21, ...

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0
21(5+85)/2= 21•45= 945
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Emma uses a 250 meter roll of crepe paper to make streamers. How many dekameters of creme paper does emma use?
QveST [7]
1 meter = 0.1 decameters

0.1 * 250 = 25

So she used 25 decameters of creme paper.
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Answer:

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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
Ben invests a small amount of money each month for his son's college education in a savings account that compounds interest mont
igor_vitrenko [27]
The answer is D i did the test
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3 years ago
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Tickets to a play cost $5 for adults and $2 for children. If 1,750 tickets were sold for a total of $7,100, how many children’s
Rina8888 [55]
A - quantity tickets  for  adults.  It costs 5a dollars
c - quantity tickets for children. It costs 2c dollars.

There were 1750 tickets sold, so  a+c=1750$.  That's mean  a = 1750 - c. 

Total: 7 100$,  That's mean  5a + 2c = 7 100.  Substitute now  1750-c instead "a" :

5(1750-c) + 2c = 7100
8750 - 5c + 2c = 7100
-3c = -1650    |divide (-3)
c = 550

So a =1750 -c = 1750 - 550 = 1200

There were sold 1200 tickets for adults and 550 tickets for children
8 0
3 years ago
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