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3 years ago

How old were the twins who played in the recital?

Mathematics

1 answer:

inna [77]3 years ago

3 0

To find out how old the twins were that were in the recital you need to be able to interpret a stem and leaf plot. The number of the left gets placed with each number on the right to create a number in the data set. See the key for an example. This means there were 2 people that were 5 years old making them the twins!

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At short company has initial costs of $800 per month and it costs them $1.50 per shirt. Let y represent the cost to run the comp

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Answer:

A. y = $800 + $1.50x

B. The cost to run the company each month = y

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Step-by-step explanation:

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Suppose that you earned a bachelor's degree and now you're teaching high school. The school district offers teachers the oppor

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Answer:

Step-by-step explanation:

Answer:

a. The amount that is saved at the expiration of the 5 year period is $22,769.20¢

b. The amount of interest is $2,769.20¢

Step-by-step explanation:

Since the amount that is deposited every year for a period of five years is $4,000 and the rate of the interest is 6.5%. We can always calculate the amount that is saved at the expiration of the five years.

We will first state the formula for calculating the future value of annuity:-

Future value of annuity =

$P[\frac{(1 + r)^{t}-1 }{r}]$

Where P is the amount deposited per year.

r is the rate of interest

t is the time or period

and in this case, the actual value of P = $4,000

rate of interest, r is 6.5% = 0.065

time, t is 5 years.

Substituting e, we have:

Fv of annuity =

$4,000[\frac{(1 + 0.065)^{5}-1 }{0.065 }]$

= 4,000 × [((1.065)^5)- 1/0.065]

= 4,000 × [(1.37 - 1)/0.065]

= 4,000 × (0.37/0.065)

= 4,000 × 5.6923

= $22,769.20¢

a. Therefore the amount that is saved at the end of the five (5) years is $22,769.20¢

b. To find the interest, we will calculate the amount of deposit made during the period of five years and subtract the sum from the current amount that is saved ($22,769.29¢).

Since I deposited 4,000 every year for five years, the total amount of deposit I made at the period =

4,000 × 5 = $20,000

The amount of interest is then = $22,769.20¢ - $20,000 = $2,769.20¢

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3 years ago

In a very survey of 60 student,60 study botany 50 study zoology and 48 studied biology.if 38 study all,how many study zoology al

BabaBlast [244]

Answer:

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3 years ago

Graph the system & write its solution <br> 2x+y=-4<br> Y=-1/2x-1

xz_007 [3.2K]

Answer:

The solution of system of equation is (-2,0)

Step-by-step explanation:

Given system of equation are

Equation 1 : 2x+y=(-4)

Equation 2 : y+ $\frac{1}{2}$ x=(-1)

To plot the equation of line, we need at least two points

For Equation 1 : 2x+y=(-4)

Let x=0

2x+y=(-4)

2(0)+y=(-4)

y=(-4)

Let x=1

2x+y=(-4)

2(1)+y=(-4)

y=(-6)

Therefore,

The required points for equation is (0,-4) and (1,-6)

For Equation 2 : y+ $\frac{1}{2}$ x=(-1)

Let x=0

y+ $\frac{1}{2}$ x=(-1)

y+ $\frac{1}{2}$ (0)=(-1)

y=(-1)

Let x=2

y+ $\frac{1}{2}$ x=(-1)

y+ $\frac{1}{2}$ (2)=(-1)

y=(-2)

The required points for equation is (0,-1) and (2,-2)

Now, plot the graph using this points

From the graph,

The red line is equation 1 and blue line is equation 2

Since. The point of intersection is solution of system of equations

The solution of system of equation is (-2,0)

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3 years ago