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dimaraw [331]
3 years ago
12

A. 6m + n for m = 7 and n = 3

Mathematics
1 answer:
nadya68 [22]3 years ago
8 0

Answer:

45

Step-by-step explanation:

(replace m with 7 and replace n with 3)

6 x 7 = 42 then you add 3 = 45

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Explain which variables would be included when using technology to calculate the present value of a lump sum and to calculate th
koban [17]

Answer:

a. Present value of a lump sum =

PV = FV / ( 1 + i )ⁿ

b. Present value of an annuity =

P = PMT x ((1 – (1 / (1 + r)⁻ⁿ )) / r)

Step-by-step explanation:

a. Present Value of a Lump sum =

PV = FV / ( 1 + i )ⁿ

Where variables in the formula are explained as follows

PV = Present Value of the given amount today

FV = Future Value of the given amount

i = Discount rate

n = Number of periods

b. Present value of an annuity is given as:

P = PMT x ((1 – (1 / (1 + r)⁻ⁿ)) / r)

The variables in the equation are explained as the follows:

P = the present value of annuity

PMT = Payment per period or the amount in each annuity payment

r =  the interest or discount rate

n = total number of periods or the number of payments left to receive

8 0
3 years ago
What is the equation of the line that is perpendicular to y = -2/3x + 4 and that passes through (–2,–2)?
Rama09 [41]

Answer:  y = 3/2x + 1

Step-by-step explanation:  For a perpendicular line, take the reciprocal of  "m"  and reverse the sign.

- 2/3 becomes +3/2

Then substitute the y and x values of the given coordinate into the equation and solve for "b"

y = mx + b

-2 = 3/2(-2) + b

-2 = -3 + b

-2 +3 = b

+1 = b   Substitute for b in y = (3/2)x + 1

6 0
3 years ago
6 times a number is 27 less then the square of that number find the positive soloution
ella [17]

Answer:

9

Step-by-step explanation:

n2-27=6n

Than n (exponet) 2 - 27 - 6n = 0

Now factor (n-9)(n+3)=0

5 0
3 years ago
Determine the domain of the function, and then graph it.
Tomtit [17]
First set change the function f(x) to y so
that it would be
y = \sqrt{x + 4} - 1
Then set y = 0
0 = \sqrt{x + 4} - 1
Then solve for x

X = - 3

To graph it, just plot the point (-3,0) on the x-axis
6 0
3 years ago
Emma took a taxi from the airport to her house.
Natali5045456 [20]
Hi there! The answer is 10 miles.

Let the distance be represented by b.
The cost if the ride will therefore be
$5 + ( $3.70 × d )

We end up with the following equation
5 + 3.7d = 42

Subtract 5 from both sides.
3.7d = 37

Divide both sides by 10.
d =  \frac{37}{3.7}  = 10

Therefore, Emma had a taxi ride of 10 miles.
8 0
3 years ago
Read 2 more answers
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