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3 years ago

Please help marking brainlist

Mathematics

2 answers:

Paul [167]3 years ago

7 0

Answer:

-3

Step-by-step explanation:

-3 times 3 equals -9

bekas [8.4K]3 years ago

4 0

Answer:

-3

Step-by-step explanation:

-9/3=-3

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As part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each

Finger [1]

Answer:

Option d)$401,447.24

Step-by-step explanation:

We are given that as part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each year at rate of 6% compounded annually for 20 years

So first of all we need to find the future value of annuity using the formula as shown below :

$FV= p\frac{[(1+\frac{r}{n})^{(n)(t)}-1)]}{\frac{r}{n}}$

Here, FV = future value of annuity

p = $35000 (annual deposit)

r is rate = 6% = 0.06

n = number of compounding = 1 ( as we are compounding annually )

t = number of years = 20

So plugging in all the values in the formula , we get

$FV= 35000\frac{[(1+\frac{0.06}{1})^{(1)(20)}-1)]}{\frac{0.06}{1}}$

Simplifying further , we get

$FV= 35000\frac{[(1+0.06)^{20}-1)]}{0.06}$

Plugging in the given values in the calculator , we get

FV = $ 1287495.69

So far we have got the Total amount for annuity , from here we need to use the concept of compound interest and find the principal amount to be deposited to get the required total amount of $ 1287495.69

The formula for compound interest when compounded annually is given by:

$A=P(1+r)^t$

Here A = 1287495.69 (Total amount required)

P = ( principal amount to be deposited to meet the required total amount )

r = 6% = 0.06

t = 20

So plugging in all the known values in the formula , we get

$1287495.69= P(1+0.06)^{20}$

simplifying further, we get

$\frac{1287495.69}{(1.06)^{20}}= P$

so required amount to be deposited is given by :

P = $401,447.24

Hope it was helpful !:)

6 0

2 years ago

30-10x and 10(3-x) equivalent or not?

BARSIC [14]

Answer:

Step-by-step explanation: You can use variables to find that out. PEMDAS works too (parenthesis, exponents, multiplication, division, addition, subtraction). Put a random number for x and then you can see that it is not equivalent. Example: 30 - 10x7 = 40 but 10 (30-70) = -400

3 0

3 years ago

Lines a and b are perpendicular. The slope of line a is −2. What is the slope of line b?

fiasKO [112]

b= 1/2

perpendicular slopes are those that are opposite signs and reciprocal of the original given slope

3 0

3 years ago

Read 2 more answers

Please help! Find the equation of the line and I will mark as brainliest IF answer is right. <3

Hoochie [10]

<h3>Answer: y = (3/4)x + 13/4</h3>

This is the same as writing y = 0.75x + 3.25

slope is 3/4 = 0.75

y intercept is 13/4 = 3.25

==========================================================

Explanation:

One marked point on this line is (-3,1)

Another point is at (1,4)

Let's find the slope of the line through these two points.

m = (y2-y1)/(x2-x1)

m = (4-1)/(1-(-3))

m = (4-1)/(1+3)

m = 3/4

m = 0.75

Now let's use point slope form to find the equation of the line

y - y1 = m(x - x1)

y - 1 = 0.75(x - (-3))

y - 1 = 0.75(x + 3)

y - 1 = 0.75x + 2.25

y = 0.75x + 2.25 + 1

y = 0.75x + 3.25

If you wanted, you can convert those decimal values to fraction form

0.75 = 75/100 = 3/4
3.25 = 325/100 = 13/4

That means the equation

y = 0.75x + 3.25

is the same as

y = (3/4)x + 13/4

4 0

2 years ago

Let f (x) = 1/x<br> and g(x) = x² – 3x. What<br> two numbers are not in the domain of fºg?

iren [92.7K]

For this case we have the following equations:

$f (x) = \frac {1} {x}\\g (x) = x ^ 2-3x$

We must find $(f_ {o} g) (x):$

By definition of composition of functions we have to:

$(f_ {o} g) (x) = f (g (x))$

So:

$(f_ {o} g) (x) = \frac {1} {x ^ 2-3x}$

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

$x ^ 2-3x = 0\\x (x-3) = 0$

So, the roots are:

$x_ {1} = 0\\x_ {2} = 3$

The domain is given by all real numbers except 0 and 3.

Answer:

x other than 0 and 3

8 0

3 years ago

Read 2 more answers