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drek231 [11]
3 years ago
15

Does this system of equations have one solution, no solutions, or an infinite number of solutions?

Mathematics
1 answer:
sertanlavr [38]3 years ago
8 0
Y=2x+5

2(2x+5)+4x=10

4x+10+4x=10

8x=20

So there's one solution, x=2.5
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Find the circumference of the pizza. Round your answer to the nearest tenth.
den301095 [7]

Answer:

Circumference of the pizza is 50.3 ft.

Step-by-step explanation:

Circumference formula: 2\pi r

<em><u>To find circumference:</u></em>

<em><u /></em>2\pi (8)<em><u /></em>

Then,

\pi (16)

After that,

Circumference= 50.26548246

Then, round to the nearest tenth:

Circumference=50.3 feet

8 0
4 years ago
Charlotte invests £5000.
lutik1710 [3]

Answer:

y = 1%

Step-by-step explanation:

From the formula;

Interest; i = PRT/100

P = £5000

R = 10%

After 1 year, we have;

i = 5000 × 10 × 1/100 = £500

Amount is now; 5000 + 500 = £5500

Since interest rate is now y% every year after the first one, then;

After 2nd year;

i = (5500 × y × 1)/100

i = 55y

So amount is now;

5500 + 55y

After 3rd year, interest is now;

i = (5500 + 55y) × y × 1/100

i = 55 + 0.55y²

Amount is now;

(5500 + 55y) + (55 + 0.55y²)

Since she has £5610.55 after 3 years, then;

(5500 + 55y) + (55 + 0.55y²) = 5610.55

0.55y² + 55y + 5555 - 5610.55 = 0

0.55y² + 55y - 55.55 = 0

From quadratic formula, y = 1%

5 0
3 years ago
Calculate the effective rate of interest (to the nearest hundredth percent) of the following Treasury bill. Given: $10,000 Treas
Anna007 [38]
A useful formula for finding the effective rate on discounted notes is
.. (effective rate) = r/(1 -rt)

If we assume a 52-week year, the t = (13 weeks)/(52 weeks) = 1/4.
.. (effective rate) = 0.0385/(1 -0.0385/4) ≈ 0.038874 ≈ 3.89%
8 0
3 years ago
Suppose you invest $130 a month for 5 years into an account earning 8% compounded monthly. After 5 years, you leave the money, w
Zina [86]

Answer:

FV= $70,887.15

Step-by-step explanation:

<u>First, we need to calculate the future value of the $130 deposit for 5 years:</u>

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit= $130

i= 0.08/12= 0.0067

n= 5*12= 60 months

FV= {130*[(1.0067^60) - 1]} / 0.0067

FV= $9,561.96

<u>Now, using the following formula, the future value of the investment after 25 years:</u>

<u />

FV= PV*(1 + i)^n

n= 25*12= 300

FV= 9,561.96*(1.0067^300)

FV= $70,887.15

5 0
3 years ago
What is the quotient
ankoles [38]

Answer:

The answer is A

Step-by-step explanation:

-3/8 divided by -1/4 = -1.5 (in fraction form it is -1 1/2)

6 0
3 years ago
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