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7nadin3 [17]
2 years ago
7

A) Find the coordinates of the points of intersection of the graphs with coordinate axes: b y=−2x+4

Mathematics
1 answer:
vova2212 [387]2 years ago
4 0

Answer:

Step-by-step explanation:

A)

y=−2x+4

y-int:

y=−2*0+4

y=4

x-int:

0=−2x+4

2x=4

x=2

(2,4)

B)

2x+3y=6

y-int:

2*0+3y=6

3y=6

y=2

x-int:

2x+3*0=6

2x=6

x=3

(3,2)

C)

1.2x+2.4y=4.8

y-int:

1.2*0+2.4y=4.8

2.4y=4.8

24y=48

y=2

x-int:

1.2x+2.4*0=4.8

1.2x=4.8

12x=48

x=4

(4,2)

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Bobby's investment of $225,000 loses value at a rate of 3% per year. Use an exponential function to find the value of the invest
AleksAgata [21]

We have been given that Bobby's investment of $225,000 loses value at a rate of 3% per year. We are asked to find the value of the investment after 10 years.

We will us exponential decay function to solve our given problem.

We know that an exponential function is in form y=a\cdot (1-r)^x, where,

y = Final amount,

a = Initial amount,

r = Decay rate in decimal form,

x = Time.

Let us convert 3% into decimal.

3\%=\frac{3}{100}=0.03

Upon substituting a=\$225,000, r=0.03 and x=10, we will get:

y=\$225,000(1-0.03)^{10}

y=\$225,000(0.97)^{10}

y=\$225,000(0.7374241268949283)

y=\$165,920.4285513588675

Upon rounding to nearest dollar, we will get;

y\approx \$165,920

Therefore, the value of the investment after 10 years would be \$165,920.

5 0
2 years ago
In the equation 16y=64-48. what is the next step in solving sequence?
vfiekz [6]

You substract 64 from 48 and then that would lead you to 16y=16. Divide 16 by 16 to get y=1


4 0
2 years ago
Aramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.
bonufazy [111]

Answer:

The ratio of Tan B is

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

Step-by-step explanation:

In Right Angle Triangle ABC

angle C = 90°

AB = Ramp = 17 feet

BC =Horizontal distance = 15 feet

AC = Height from floor = 8 feet

To Find:

Ratio of Tan B = ?

Solution:

In Right Angle Triangle ABC By Tangent Identity we have

\tan B= \dfrac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}

Substituting the given values we get

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

5 0
2 years ago
Tucker rode his scooter 10 miles. It took him 55 minutes. How fast was he going? [Type your answer as a decimal rounded to the n
g100num [7]
It would have taken you 5:30 for each mile. 55/10 is 5.5 thats 5 and a half, half a minute is 30 seconds. so 5 minutes and 30 seconds
6 0
1 year ago
A theatre ticket costs £63 plus a booking fee of 3% what is the total cost of the ticket
Genrish500 [490]

Answer:

64.89 is the total cost

Step-by-step explanation:

63 x .03 = 1.89

63 + 1.89 = 64.89

5 0
2 years ago
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