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GarryVolchara [31]
3 years ago
15

Expresss 8 2/7 as a %

Mathematics
1 answer:
Darya [45]3 years ago
8 0

828.57%

Step-by-step explanation:

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The principal amount, $4200, earns 3.6% interest compounded monthly.
svlad2 [7]

Answer:

a)

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

b)

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 4,200.00 at a rate of 3.6% per year  compounded 12 times per year  over 10 years is $5667.28.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

where

P represents the principal amount

r represents Annual Rate

n represents the number of compounding periods per unit t, at the end of each period

t represents the time Involve

b) What will the value be after 10 years?

Given

The principal amount  P = $4200

Annual Rate r = 3.6% = 3.6/100 = 0.036

Compounded monthly = n = 12

Time Period = t

To Determine:

The total amount A = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

substituting the values

A\:=\:4200\left(1\:+\:\frac{0.003}{12}\right)^{\left(12\right)\left(10\right)}

\:A\:=\:4200\left(1.0025\right)^{120}

A=5667.28 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 4,200.00 at a rate of 3.6% per year  compounded 12 times per year  over 10 years is $5667.28.

6 0
2 years ago
HELP ILL GIVE BRAINLIEST
Mariana [72]

Answer:

56 degrees if I am not mistaken

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which equation describes the line that passes through the points (1, 3) and (– 2, 6)?
iVinArrow [24]
The first one. if you use one of the points to substitute the variables, you’ll see that the equation is true
8 0
3 years ago
1. The equation of a parabola is given.
svp [43]
Question 1)

The given parabola is:

y= \frac{1}{8} x^{2} +4x+20

First we need to convert this equation to the general form similar to:

4p(y-k)=(x-h)^{2}

So, the given equation will be:

y= \frac{1}{8} x^{2} +4x+20  \\  \\ 
y= \frac{1}{8}( x^{2} +32x)+20 \\  \\ 
y= \frac{1}{8}( x^{2} +32x+256)+20- \frac{1}{8}(256) \\  \\ 
y = \frac{1}{8}(x+16)^{2}-12 \\  \\ 
y+12= \frac{1}{8}(x+16)^{2} \\  \\ 
8(y+12)=(x+16)^{2} \\  \\ 
4*2(y-(-12))=(x-(-16))^{2}

Comparing given equation with the general equation, we can write:
p = 2
h = -12
k= -16

The focus of the parabola with squared x terms lies at (h , k+p)
Using the values, we get the focus point of the given parabola (-16, -10)

Question 2.

The equation of the parabola is:
(y-1)^{2}=16(x+3)  \\  \\ 
(y-1)^{2}=4*4(x+3)

This means:
p=4
h = -3
k =1

The directrix of the parabola with squared y term has the equation of the form:

x = h - p

Using the values, we get

x= - 3 - 4 = -7

So, the equation of the directrix of the parabola will be x = -7 
8 0
3 years ago
What are the factors of the expression 3x(y+5)
frez [133]
There are two factors. The factors are 3x and y+5

The factors are the pieces that multiply to get the overall result. Another example of factors: 3*6 = 18 where 3 and 6 are the two factors (18 is the product; aka result of multiplication)
5 0
3 years ago
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