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3 years ago

In an arithmetic sequence {an}, if a1 = 5 and d = 3, find a72.

1 answer:

4 0

The nth term (an) of the arithmetic sequence is calculated through the equation,
an = a1 + (n - 1)(d)
where an is the nth term, a1 is the first term, n is the number of terms, and d is the common difference. Substituting the known values,
a72 = 5 + (72 - 1)(3)
a72 = 218

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How long will it take to have R30 000 for a trip to Europe if I invest R20 000 now at 15% per year, compounded quarterly?

maw [93]

<span>Compound interest formula</span>

$A=P(1+ \frac{r}{n} )^{nt}$

Where

<span>
A= Future value
P = the Principal (the initial amount of money)
r = annual interest rate</span>

t = time

<span>n= number of times compounded in one t

Remark
----------------------------------------------------------------------------------

r is generally a percentage like 3%, 7% etc and are applied in the formula as 0.03, 0.07...,

the interest is compounded generally annually (n=1), quarterly (n=4), monthly (n=12), etc...

t is in years,

In our problem:

</span>

A= 30 000

P =20 000

r = 15%=0.15

time = t = ?

n= 4

applying the formula:

$A=P(1+ \frac{r}{n} )^{nt}\\\\30,000=20,000(1+ \frac{0.15}{4} )^{4t}\\\\ \displaystyle{\frac{30,000}{20,000} =(1.0375)^{4t}$

$\displaystyle{ 1.5={(1.0375^4)}^t\\\\$

$1.5=1.159^t\\\\ \displaystyle { t=log_{1.159}1.5=2.75$

75% of 12 months is 3/4 of 12 months, which is 9 months

Answer: 2 years, 9 months

3 0

3 years ago

When Mr. P. drinks an 8-ounce glass of cola, how many teaspoons of sugar is he consuming if one teaspoon of sugar provides 4 gra

natta225 [31]

The number of teaspoons of sugar that Mr. P. consumes is = 56.7 teaspoons.

<h3>Calculation of total sugar quantity</h3>

The total amount of cola taken is 8-ounce

To covert ounce to grams , the following is carried out;

1 ounce =28.35g

8 ounce = X

Xg = 8 × 28.35

X = 226.8g

But one teaspoon = 4 grams

X teaspoon = 226.8g

cross multiply to solve for x

X = 226.8g/ 4

X = 56.7 teaspoons

Therefore, the number of teaspoons of sugar that Mr. P. consumes is = 56.7 teaspoons.

Learn more about multiplication here:

brainly.com/question/10873737

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2 years ago

During an algebra class a teacher asked for examples of non-prime numbers. Jake says 51, Teresa says 41, and let Liu says 21. Wh

USPshnik [31]

The students that are correct are Jake , and Liu because 51, and 21 are composite.

Hope this helps!

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2 years ago

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Can anyone explain how you get the answer?

AnnyKZ [126]

Answer:

G) -12

Step-by-step explanation:

x is increasing by 2

y is decreasing by 24

-24 / 2 = -12

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2 years ago

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How to write a quadratic function when given the axis of symmetry?

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