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9966 [12]
3 years ago
11

PLEASE HELP!!!!! Combine the like terms to create an equivalent expression. 8k+5k

Mathematics
1 answer:
horsena [70]3 years ago
3 0

Answer:

13k

Step-by-step explanation:

Given: 8k+5k

Finding the equivalent expression.

We know the rule of addition is that adding two positive integers will give positive result or sum.

Now, lets find the equivalent expression of 8k+5k.

∴ 8k+5k= 13k

Hence, the required equivalent expression is 13k.

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A credit union client deposits $3,300 in an account earning 6.5% interest, compounded annually. What will the balance of the acc
astra-53 [7]

Answer:

The balance of account at the end of 36 years is $31,849.29

Step-by-step explanation:

We are given the following in the question:

P = $3,300

r = 6.5% = 0.065

t = 36 years

The compound interest is given by:

A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}

where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.

Since interest is compounded annualy we use n = 1

A = 3300\bigg(1+\dfrac{0.065}{1}\bigg)^{36}\\\\A = \$31,849.29

Thus, balance of account at the end of 36 years is $31,849.29

6 0
3 years ago
The length, width, and height of a rectangular prism are in the ratio 3:2:1, respectively. What is the length of the prism if it
Arturiano [62]
The three numbers have to multiply to 48 in a ratio of 3:2:1
which would be 6:4:2
so 6 inches
6 0
3 years ago
A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased b
Murrr4er [49]

Answer:

Step-by-step explanation:

buenas tardes .....

solucion

Volumen de un cilindro: es igual al área de la tapa por la altura del mismo

A = πD² * h / 4

Lata grande y lata pequeña

Para la lata grande, el diámetro y la altura han aumentado un 20%.

Lata pequeña:

d = 4 cm

h = 3 cm

A 1 = π * (4) ² * 3/4

A1 = 37,70 cm²

Lata grande:

d = 4 * 1,2 = 4,8 cm

h = 3 * 1,2 = 3,6 cm

A2 = π (4,8) ²3,6 / 4

A2 = 65,14 cm²

Si 37,7 representa el 100%

  65,14 representación x

x = 170%

El incremento del volumen es de un 70%

6 0
3 years ago
Helppppppppppp!!!!!
Delvig [45]

Answer:

n ^{2}  + 7n + 1 \\ where \: the \: value \: of \: n =  - 3 \\ n ^{2}  + 7n + 1 \\  =  - 3^{2}  + 7( - 3) + 1  \\  =  - 9 - 21 + 1 \\  =  - 29

4 0
3 years ago
Read 2 more answers
What is the formula for a confidence interval?
ikadub [295]

Answer:

a) The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

b) \bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Part a

The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

Part b

The confidence interval for the mean is given by the following formula:  

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

5 0
3 years ago
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