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Nat2105 [25]
2 years ago
10

An arithmetic sequence is defined by:a_1=-8a1​=−8a_n=a_{n-1}+4an​=an−1​+4What is the 7th term of the sequence?

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
5 0

Answer:

Step-by-step explanation:

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Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year
kifflom [539]

Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

A=P\left(1+\dfrac{r}{n}\right)^{nt}

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting P=14000,r=0.10,n=2,t=11 in the above formula, we get

A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}

A=14000\left(1+0.05\right)^{22}

A=14000\left(1.05\right)^{22}

A\approx 40953.65

Therefore, the accumulated value of the given investment is $40953.65.

8 0
3 years ago
Read 2 more answers
Jamal simplified ...
brilliants [131]
\bf \sqrt{75x^5y^8}\qquad 
\begin{cases}
75=3\cdot 25\\
\qquad 3\cdot 5^2\\
x^5=x^{4+1}\\
\qquad x^4x^1\\
\qquad (x^2)^2x\\
y^8=y^{4\cdot 2}\\
\qquad (y^4)^2
\end{cases}\implies \sqrt{3\cdot 5^2\cdot (x^2)^2x(y^4)^2}
\\\\\\
5x^2y^4\sqrt{3x}
4 0
3 years ago
Identify the solution of each equation from the list given.
sp2606 [1]

Answer:

1.) The answer is b = 6

2.) The answer is t = 10

Step-by-step explanation:

For the first equation in order to fin out the answer we do.....

b + 8 = 14

b + 8 - 8 = 14 - 8

b = 6

For the second question we do....

25 - t = 15

25 - t + t = 15 + t

25 = 15 + t

25 - 15 = 15 + t -15

10 = t

4 0
3 years ago
Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale a
DanielleElmas [232]

Answer:

6.48 dollars total,

Step-by-step explanation:

First, you would want to multiply the amount of money per pound, by the amount of pounds. 1.60 multiplied by 4 1/2 or 4.5, would equal to 7.2 dollars. In order to find 10% of 7.2, your would need to multiply 7.2 by 0.10, which would give you 0.72. Then you would subtract 7.2 by 0.72 to get 6.48. So your answer would be 6.48 dollars. Hoped this helped.

8 0
3 years ago
Y=6x+20 substitution​
Oksana_A [137]

Answer:

-10/3 or -3.33

Step-by-step explanation:

substitute 0 for y

0 = 6x + 20  

-20 = 6x + 20 - 20               subtract 20 on both sides  

-20 = 6x                               divide by 6 on each side

-20/6 = 6x/6

x = -20/6                             simplify

x =   -10/3

8 0
3 years ago
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