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mestny [16]
3 years ago
15

Parker has $2,500 in her bank account that earns 3.8% interest annually. How much money will she have in her bank account after

4 years?
Mathematics
2 answers:
Yanka [14]3 years ago
8 0

Answer:

2880

Step-by-step explanation:

2,500divide100=25x3.8=380

2500+380

svlad2 [7]3 years ago
3 0

Answer:

$2,860

Step-by-step explanation:

2,500 * 3.8% = 90 in interest a year

so

90 * 4 = 360 in interest

add that to what she put in

2,860

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A toy rocket is shot vertically into the air from a launching pad 9 feet above the ground with an initial velocity of 80 feet pe
kotykmax [81]

Answer:

Step-by-step explanation:

108

5 0
3 years ago
The area of a rectangle is 45 cm2. Two squares are constructed such that two adjacent sides of the rectangle are each also the s
Zielflug [23.3K]

Answer:

The lengths of sides of squares are 5 cm and 9 cm.

Step-by-step explanation:

Let the sides of rectangle be x and y .

Area of rectangle = Length × Breadth

Given : Area of rectangle = 45 cm².

⇒ x × y  = 45  

⇒ x=\frac{45}{y}  ........(1)

Two squares are constructed such that two adjacent sides of the rectangle

so squares have side x and y .

Area of square = side × side

Area of square with side x = x²

Area of square with side y = y²

Also, The combined area of the two squares is 106 cm².

⇒ x² + y² = 106

From (1) put value of x , we get,

(\frac{45}{y})^2+y^2=106

Solving for y ,

(\frac{45}{y})^2+y^2=106  

2025+y^4=106y^2  

y^4-106y^2+2025=0  

y^4-81y^2-25y^2+2025=0  

y^2(y^2-81)-25(y^2-81)=0  

(y^2-25)(y^2-81)=0

y^2-81=0 or y^2-25=0    

on solving we get y = 5 and y = 9

Also, x can be find by putting in (1),

⇒ x=\frac{45}{5}=9 and ⇒ x=\frac{45}{9}=5  

⇒ x = 9 and x = 5

Thus, lengths of sides of squares are 5 cm and 9 cm.

6 0
3 years ago
Read 2 more answers
the length of the sides of a square are initially 0 cm and increase at a constant rate of 11 cm per second. suppose the function
Likurg_2 [28]

The function of the area of the square is A(t)=121t^{2}

Given that The length of a square's sides begins at 0 cm and increases at a constant rate of 11 cm per second. Assume the function f determines the area of the square (in cm2) given several seconds, t since the square began growing and asked to find the function of the area

Lets assume the length of side of square is x

\frac{dx}{dt} = 11 \frac{cm}{sec}

⇒x=11t

Area of square=(length of side)^{2}

Area of square=(11t)^{2}{as the length of side is 11t}{varies by time}

Area of square=121t^{2}

Therefore,The function of the area of the square is A(t)=121t^{2}

Learn more about The function of the area of the square is A(t)=121t^{2}

Given that The length of a square's sides begins at 0 cm and increases at a constant rate of 11 cm per second. Assume the function f determines the area of the square (in cm2) given several seconds, t since the square began growing and asked to find the function of the area

Lets assume the length of side of square is x

\frac{dx}{dt} = 11 \frac{cm}{sec}

⇒x=11t

Area of square=(length of side)^{2}

Area of square=(11t)^{2}{as the length of side is 11t}{varies by time}

Area of square=121t^{2}

Therefore,The function of the area of the square is A(t)=121t^{2}

Learn more about area here:

brainly.com/question/27683633

#SPJ4

3 0
2 years ago
The National Center for Educational Statistics surveyed 5400 college graduates about the lengths of time required to earn their
fenix001 [56]

Answer:

The 90% confidence interval for the mean time required by all college graduates is between 5.36 years and 5.44 years.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*\frac{1.9}{\sqrt{4500}} = 0.04

The lower end of the interval is the sample mean subtracted by M. So it is 5.4 - 0.04 = 5.36 years.

The upper end of the interval is the sample mean added to M. So it is 5.4 + 0.04 = 5.44 years.

The 90% confidence interval for the mean time required by all college graduates is between 5.36 years and 5.44 years.

3 0
3 years ago
In the figure below, m
Georgia [21]

Step-by-step explanation:

In figure below what???

4 0
3 years ago
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