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Brrunno [24]
3 years ago
10

Given an investment of $2300, after 7 months, earning 6.6% APR, compounded monthly, the future value is given by

Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

we are given

investment amount is 2300

so,

P=2300

r=6.6%

r=0.066

it is compounded monthly

so,

n=12

now, we can use formula

FV=P(1+\frac{r}{n})^{nt}

now, we can plug values

t=7/12

and we get

FV=2300(1+\frac{0.066}{12})^{7}

now, we can find FV

FV= $2390.02454............Answer

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Working together, it takes Sam, Jenna, and Francisco two hours to paint one room. When Sam works alone, he can paint one room in
lutik1710 [3]

Answer:  12 hours

Step-by-step explanation:

Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.

When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.

Let 't' be the time taken by Francisco to paint one room on his own.

Then , we have

Rate of work of  Sam +Rate of work of Jenna + Rate of work of  Francisco =Rate of work they all do together

\dfrac{1}{6}+\dfrac{1}{4}+\dfrac{1}{t}=\dfrac{1}{2}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{4+6}{24})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{10}{24}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{5}{12}

i.e.  \dfrac{1}{t}=\dfrac{6-5}{12}

i.e.  \dfrac{1}{t}=\dfrac{1}{12}

i.e. t= 12

Hence,  Francisco would take 12 hours to  paint one room on his own.

8 0
3 years ago
Substitute r=3 and h=5 into the formula V=piR^2h then evaluate
nikitadnepr [17]

To evaluate when plugging in numerical values for variables, simply put the numerical values in the place of the corresponding variables:

V = \pi \cdot 3^2 \cdot 5

\boxed{V = 45\pi \approx 141.37}

4 0
3 years ago
Read 2 more answers
Which is best estimate of the circumference of this circle when radius is 3
nydimaria [60]

Answer:

D/About 18.85

Step-by-step explanation:

So, Using the Circle Circumfrince Formula:

A=2\pi r\\A=6\pi \\A=18.85....

There you go!

Hope this helps!

P.S. Stay Safe!

4 0
3 years ago
Which irrational number can be multiplied by –StartRoot 41 EndRoot to get a product that equals 1?
Marta_Voda [28]

Answer:

StartRoot StartFraction 1 Over 41 EndFraction EndRoot

Negative StartRoot 41 EndRoot

Negative StartRoot StartFraction 1 Over 41 EndFraction EndRoot

StartRoot 41 EndRoot

5 0
3 years ago
Find the value of x and the value of y
erik [133]
The triangle is an isosceles triangle with exactly two congruent angles.
Since the two 45-deg angles are congruent, their opposite sides are also congruent. That makes y = 5.

This triangle is a 45-45-90 triangle. In a 45-45-90 triangle, the legs are congruent and the hypotenuse is sqrt(2) times the length of the legs.
The hypotenuse has length x, so x = 5 * sqrt(2) = 5sqrt(2)

Answer: B. x = 5sqrt(2), y = 5
5 0
3 years ago
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