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Flura [38]
3 years ago
12

Three times a number is no less than twice the sum of the number and eight

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0

Answer:

3x = 2x + x + 8

3x - 3x = 8

x = 8

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What is the balance after 7 years if you deposit $2800 in an account that pays 4% interest compounded yearly ?
SVEN [57.7K]

Answer:the balance after 7 years is $3216

Step-by-step explanation:

A) Initial amount deposited into the account is $2800 This means that the principal,

P = 2800

It was compounded yearly. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

It was compounded for 7 years. So

t = 7

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. Therefore

A = 2800(1 + 0.04/2)^ 1× 7

A = 2800(1 + 0.02)^7

A = 2800(1.02)^7

A = $3216

6 0
3 years ago
Subtract these polynomials.<br> (3x2 – 2x + 5) – (x2 + 3) =
nika2105 [10]

Answer:

D. 2x^2 - 2x + 2

Step-by-step explanation:

(3x2 – 2x + 5) – (x2 + 3) add or subtract like terms

3x^2 - x^2 - 2x - 3 + 5 = 2x^2 - 2x + 2

6 0
2 years ago
Evaluate the integral. (Use C for the constant of integration.) <br> cos(x) (8 + 7 sin^2(x)) dx
UNO [17]

Answer: 8 \sin x +7(\dfrac{\sin^3x}{3})+C

Step-by-step explanation:

Consider \int \cos(x) (8+7 \sin^2(x)) \, dx

Substitute  t= sinx

then dt = cos x dx

\int \cos(x) (8+7 \sin^2(x)) \, dx = \int (8+7t^2)dt\\\\ =8t+7(\dfrac{t^3}{3})+C

[\int x^ndx=\dfrac{x^{n+1}}{n+1}+C]

=8 \sin x +7(\dfrac{\sin^3x}{3})+C

Hence, \int \cos(x) (8+7 \sin^2(x)) \, dx=8 \sin x +7(\dfrac{\sin^3x}{3})+C

5 0
3 years ago
Greg buys a home for $328,500. His home is predicted to increase in value 4% each year. What is the predicted value of his home
GaryK [48]
The initial value of the Greg`s home: $328,500. If his home is predicted to increase in value 4% each year, that means that the value will rise 1.04 times every year.
The predicted value after 30 years:
$328,500 * ( 1 + 0.04 ) ^30 = 
= $328,500 * 1.04^30 = 
= $328,500 * 3.2434 = 
= $1,065,456.
Answer: The predicted value of his home in 30 years is $1,065,456.
5 0
3 years ago
Read 2 more answers
RS= 4y+2, ST = 3y+8, and RT = 38 what is the value of y
emmainna [20.7K]

Answer:

y = 4

Step-by-step explanation:

Given that,

RS= 4y+2, ST = 3y+8, and RT = 38

We need to find the value of y.

As,

RT = RS+ST

Put all the values,

38 = 4y+2+3y+8

38-2-8 = 4y+3y

28 = 7y

y = 4

So, the value of y is equal to 4.

7 0
3 years ago
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