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3 years ago

Pls help me! Thanks!

Mathematics

2 answers:

natulia [17]3 years ago

7 0

Answer:

Terms: 2x, 3y, -5z, -4

Variables: x, y, z

Coefficients: 2, 3, -5

Constants: -4

Step-by-step explanation:

I hope this helps :)

Let me know if you have any questions

julsineya [31]3 years ago

7 0

Answer:

Terms: 2x, 3y, 5x

Variables : x, x, y

Coefficients : 2,3,5

Constants : 4

Step-by-step explanation:

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Find the present value of an annuity due that pays $4000 at the beginning of each quarter for the next 7 years. Assume that mone

Jlenok [28]

Answer:

Step-by-step explanation:

From the first question:

We are to find PV of the annuity.

Using the formula:

Present value of Annuity = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)

Where , Annuity Amount = $4,000

n = No. of periods = 7 years × 4 quarters per year = 28 periods but since the first payment is at beginning of the quarter, Then, n = 27 when considered for PVAF

r = 6.2% / 4 quarters = 1.55%,

PVAF(n0,r) when first payment is at beginning of n i.e. n0 = 1 + { [1-(1+r)^ -n0 ]/r }

= 1 + { [1-(1+0.0155)^ {-27}]/0.0155 }

= 1 + [ (1 - 0.66015 ) ] / 0.0155]

= 1 + 21.926

= 22.926

PVAF(28,1.55%) = 22.926

Thus , Present Value of Annuity = $4,000 × 22.926 = $91704.00

2. Present value of Annuity due = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)

Present Value of Annuity = $90,000

n = No. of periods = 7.5 years × 4 quarters per year = 30 periods

r = 5.4% / 4 quarters = 1.35%,

PVAF(n,r) = [1-(1+r)^-n]/r

PVAF(n,r) = [1-(1+0.0135)^ -30]/0.0135

PVAF(30,1.35%) = (1 - 0.6688)/0.0135

PVAF(30,1.35%) = 0.3312/0.0135

PVAF(30,1.35%) = 24.53

Hence ;

$90,000 = Annuity Amount × 24.53

Annuity amount = $90,000/24.53 = $3,668.48

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3 years ago

Jay stores hay in cubic stacks on his farm. If the length of each stack is `2/3` yard, what is the volume of hay in each stack?

Kay [80]

Answer:

2/3 yards is equal to 2 feet.

Step-by-step explanation:

V = (2)^3 = 8 feet. Convert feet into yards by dividing by 3

8/3 = 2 and 2/3 yards of hay in each stack

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3 years ago

12 gallons of gas to travel 144 miles. Six gallons in the tank how much more will she need to travel 240

ira [324]

Solution:
Here:
On 12 gallons of gas 144 miles is travelled.
So, for 1 mile :
$\frac{12}{144} \: gallons \: of \: gas$
$= \frac{1}{12} \: gallons \: of \: gas$
is required.
Now,
for 240 miles:
$\frac{1}{12} \times 240$
$= 20 \: gallons \: of \: gas$
is required.
But, according to question, the tank only contains 6 gallons of gas. So, see needs more (20 - 6) gallons of gas [i.e. 14 gallons of gas].

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3 years ago

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Complete the solution of the equation. Find the value of y when x equals 0. -7x + 3y = 30

Sonbull [250]

Answer:

-7x+3y=30

-7(0)+3y=30

0+3y=30

y=30/3

y=10

Step-by-step explanation:

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3 years ago