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3 years ago

Y = 4x - 3y= 2x + 13

Mathematics

1 answer:

Serggg [28]3 years ago

7 0

Answer:

x = 9, y = 29 or (8,29)

Step-by-step explanation:

Set the equations equal to each other because they both equal y:

4x - 3 = 2x + 13

Combine like terms:

2x = 16

Divide by 2:

x = 8

Plug 8 into the x for both equations and see if the y is the same:

y = 4(8) - 3 = 32 - 3 = 29

y = 2(8) + 13 = 16 + 13 = 29

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How much money has to be invested at 5.9% interest compounded continuously to have $15,000 after 12 years?

scoray [572]

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

Step-by-step explanation:

The given is,

Future value, F = $15,000

Interest, i = 5.9%

( compounded continuously )

Period, t = 12 years

Step:1

Formula to calculate the present with compounded continuously,

$F=Pe^{(i)(t)}$ ...............(1)

Substitute the values in equation (1) to find the P value,

$15000=Pe^{(0.059)(12)}$ ( ∵ $i = \frac{5.9}{100}=0.059$ )

$15000=Pe^{0.708}$

$15000=P(2.0299)$ ( ∵ $e^{o.708} =2.0299$ )

We change the P (Present value) into the left side,

$P=\frac{15000}{2.0299}$

$=7389.427$

≅ 7389.43

P = $ 7389.43

Result:

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

8 0

3 years ago

The kicker on the football team made 8 out of 9 of his field goals. about what percent of field goals did the kicker miss

daser333 [38]

Answer:

11%

Step-by-step explanation:

if he made 8/9 attempts, that leaves 1/9 and 1/9 is .11 so its 11% that he missed

8 0

3 years ago

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Plz help me well mark brainliest if correct!!...

valina [46]

Answer:

You should stick with option D

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3 years ago

The bedroom is 17 feet long by 18 feet wide, and the ceiling is 9 feet high. The inside of the bedroom door will be painted the

Lisa [10]

Answer:

Step-by-step explanation:

Do it yourself m8!

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3 years ago

The region R enclosed between the graph of the function y=x^2−4x+5 and the x-axis for 0≤x≤4 is partitioned into four subinterval

Marina CMI [18]

Answer:

9.00 square units

Step-by-step explanation:

The width of the interval is 4 − 0 = 4. Divided by 4 equal subintervals, the width of each subinterval is 4/4 = 1.

The subintervals are:

0 ≤ x ≤ 1

1 ≤ x ≤ 2

2 ≤ x ≤ 3

3 ≤ x ≤ 4

MRAM is midpoint rectangular approximation method. So we use the midpoints of each interval to find the height of the rectangle:

f(0.5) = (0.5)² − 4(0.5) + 5 = 3.25

f(1.5) = (1.5)² − 4(1.5) + 5 = 1.25

f(2.5) = (2.5)² − 4(2.5) + 5 = 1.25

f(3.5) = (3.5)² − 4(3.5) + 5 = 3.25

So the total approximate area is:

A = 3.25 + 1.25 + 1.25 + 3.25

A = 9.00

Graph: desmos.com/calculator/x8dcibqszo

7 0

3 years ago

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Y = 4x - 3y= 2x + 13​

Y = 4x - 3y= 2x + 13