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Ostrovityanka [42]
2 years ago
12

Solve 7e^(2x)-5>58. Round to the nearest hundredth.

Mathematics
1 answer:
7nadin3 [17]2 years ago
5 0

Answer:

x\gtrapprox1.1

Step-by-step explanation:

7e^{2x}-5>58

7e^{2x}>63

e^{2x}>9

2x>ln(9)

x>\frac{ln(9)}{2}

x\gtrapprox1.1

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A new car is purchased for 19000 dollars. The value of the car depreciates at 11.25% per year. What will the value of the car be
ioda

Answer: The answer is 3573.64

Step-by-step explanation:

Exponential Functions:

y=ab^x

a=starting value = 19000

r=rate = 11.25%=0.1125

Exponential Decay:

b=1-r=1-0.1125=0.8875

Write Exponential Function:

y=19000(0.8875)^x

Plug in time for x:

y=19000(0.8875)^14

y= 3573.6388855

Evaluate :

y≈3573.64

5 0
3 years ago
35/8 + 10/3 = simplest form
Nimfa-mama [501]

Answer:

185/24

Step-by-step explanation:

Convert both to fractions with the same denominator first.

35/8= 105/24

10/3= 80/24

105/24+80/24

= 185/24

6 0
3 years ago
Read 2 more answers
Use the quadratic formula to solve for x.
lakkis [162]
0.64,-3.14 I’m not really sure about the -3.14. (Sorry).
4 0
2 years ago
Read 2 more answers
The endpoints of the diameter of a circle are (−2, −3) and (4, −1). Which equation represents the circle?
Alika [10]

Answer:

The equation of circle is (x-1)^{2}+(y-2)^{2} = 18

Step-by-step explanation:

Given the endpoints of the diameter of a circle: (-2,-3) and (4,-1)

We know that the equation of circle is

(x-h)^{2} + (y-k)^{2}= r^{2}

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

To find (h,k): the center is midpoint of diameter

Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by

(  \frac{x1+x2}{2} , \frac{y1+y2}{2}  )

( \frac{-2+4}{2} , \frac{-3-1}{2}  )

(1,2)

Hence (h,k) is (1,2)

Substituting values of (h.k) and (x.y) as (1,2) and (4,-1) respectively in equation of circle, we get

(4-1)^{2} +(-1-2)^{2} = r^{2}

r^{2} = 18

Now substituting values of (h,k) and r^{2} in equation of circle, we get

(x-1)^{2}+(y-2)^{2} = 18

Hence the equation of circle is (x-1)^{2}+(y-2)^{2} = 18

5 0
3 years ago
Read 2 more answers
Two angles are supplementary angles if the sum of their measures is​ 180°. find two supplementary angles such that the measure o
charle [14.2K]
Let the measure of the second angle be x.
The first angle has measure 3x - 34.
The sum of the measures is 180.

x + 3x - 34 = 180

4x - 34 = 180

4x = 214

x = 53.5

The second angle has measure 53.5 deg.

3x - 34 = 3 * 53.5 - 34 = 160.5 - 34 = 126.5

The measure of the first angle is 126.5 deg.

Answer: The measures are 126.5 deg and 53.5 deg.
7 0
3 years ago
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