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Novosadov [1.4K]

3 years ago

7

Luke has $20 in a savings account that earns 10% interest, compounded annually.To the nearest dollar, how much will he have in h

is account after 2 years?

1 answer:

EastWind [94]3 years ago

8 0

Answer: $528

Step-by-step explanation:

You might be interested in

Find the volume of this object

Romashka-Z-Leto [24]

Answer:

$423 cm^{3}$

Step-by-step explanation:

$V=3*3^{2} *14+\frac{3*3^{2}*5 }{3} =423cm^{3}$

3 0

3 years ago

A circle has a sector with area 33 pi and a central angle of 11/6 pi radians. What is the area of a circle?

Mashutka [201]

Answer:

36π

Step-by-step explanation:

The area of a circle is given as:

$A = \pi r^2$

where r = radius of the circle

The area of a sector of a circle is given as:

$A_s = \frac{\alpha }{2\pi} * \pi r^2$

where α = central angle in radians

Since $\pi r^2$ is the area of a circle, A, this implies that:

$A_s = \frac{\alpha }{360} * A$

A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.

Therefore, the area of the circle, A, is:

$33 \pi = \frac{\frac{11 \pi}{6} }{2 \pi} * A\\\\33\pi = \frac{11}{12} * A\\\\=> A = \frac{33\pi * 12}{11}\\ \\A = \frac{396 \pi}{11} \\\\A = 36\pi$

The area of the circle is 36π.

5 0

2 years ago

Read 2 more answers

a meal at a restaurant cost $49.28. If the customers leave $8.23 for to determine the tip rate to the nearest whole percent. Wha

Monica [59]

Now, if the customers left 8.23 extra, based on a percentage of the cost of the meal, namely, the 8.23 is a percent of 49.28, then

if we take 49.28 to be the 100%, how much of a percentage is 8.23?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
49.28&100\\
8.23&t
\end{array}\implies \cfrac{49.28}{8.23}=\cfrac{100}{t}\implies t=\cfrac{8.23\cdot 100}{49.28}$

8 0

2 years ago

In a study, researchers wanted to measure the effect of alcohol in the development of the hippocampal region in adolescents. The

lbvjy [14]

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Sample size, n = 30

Tcritical value = 2.045

Null hypothesis :

H0: μ = 9.08

Alternative hypothesis :

H1: μ≠ 9.08

Sample mean, m = 8.25

Samole standard deviation, s = 1.67

Test statistic : (m - μ) ÷ s/sqrt(n)

Test statistic : (8.25 - 9.08) ÷ 1.67/sqrt(30)

Test statistic : - 0.83 ÷ 0.3048988

Test statistic : - 2.722

Tstatistic = - 2.722

Decision region :

Reject Null ; if

Tstatistic < Tcritical

Tcritical : - 2.045

-2.722 < - 2.045 ; We reject the Null

Using the α - level (confidence interval) 0.05

The Pvalue for the data from Tstatistic calculator:

df = n - 1 =. 30 - 1 = 29

Pvalue = 0.0108

Reject H0 if :

Pvalue < α

0.0108 < 0.05 ; Hence, we reject the Null

4 0

2 years ago

How do I do this its systems of equations

VLD [36.1K]

Let x the subject of the equation in x-2y=-10 this make it x=2y-10 substitute this in the first equation. 3(2y-10)-2y=-6 solve for y, y=6. substitute y in any of the original equations to get x x= 2

3 0

3 years ago