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3 years ago

Kylie invested $290 in an account paying an interest rate of 2.5% compounded

Mathematics

1 answer:

erik [133]3 years ago

7 0

Answer:

11.9

Step-by-step explanation:

390=290e^(.025x)

x=11.85 which rounds to 11.9

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Identify the transformations that describe the graph of an even function. Select all that apply.

Bingel [31]

The function becomes even when f(-x) = f(x)
So, if f is even function and y = f(x)
∴ y = f(-x)
∴ (x,y) and (-x,y) on the same graph
or we can say (-x,y) is an image for (x,y)
So, the rule of transformation becomes (x,y) ⇒⇒⇒ (-x,y)
Which is the same rule of reflection over the y-axis.

∴ The correct choice is the second option

6 0

3 years ago

Use the frequency distribution, which shows the number of American voters (in millions) according to age, to

a_sh-v [17]

Answer:

The probability that a voter chosen at random is in the 18 to 20 years old age range is = 4.2/ 134.8= 0.0311572

Step-by-step explanation:

We can find the probability by simply dividing the frequency of the ages range of 18-20 by the total frequency.

Ages Frequency

18 to 20 4.2

21 to 24 7.8

25 to 34 20.8

35 to 44 23.7

45 to 64 50.1

65 and over 28.2

∑ 134.8

The probability of an event is given by the occurrence of an event by the total occurrences .

Here the occurrence of ages 18-20 is given by 4.2

and the total frequency is 134.8

The probability that a voter chosen at random is in the 18 to 20 years old age range is = 4.2/ 134.8= 0.0311572

7 0

3 years ago

If the cube root parent function is horizontally stretched by a factor of 4, then translated 5 units right and 3 units up, write

Gala2k [10]

Answer:

The cube root parent function:

f(x) = $\sqrt[3]{x}$

Horizontally stretched by a factor of 4:

g(x) → f(1/4x) = $\sqrt[3]{1/4x}$

Translated 5 units right:

h(x) → g(x - 5) = $\sqrt[3]{1/4x - 5}$

Translated 3 units up:

k(x) → h(x) + 3 = $\sqrt[3]{1/4x - 5} + 3$

5 0

2 years ago

A box contains four equal sized cards labeled 1,3,5,7 Tim will select one card from the box What is the probability that Tim wil

Mice21 [21]

Answer:

0 is the probability that Tim will select a card labeled with a number 6.

Step-by-step explanation:

We are given the following in the question:

Number of cards = 4

Cards with labels:

1,3,5,7

Tim will select one card from the box. We have to find the probability that Tim will select a card labeled with a number 6.

Formula:

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$\text{P(Label 6) = }\dfrac{0}{4}= 0$

0 is the probability that Tim will select a card labeled with a number 6. Thus, it is an impossible event.

4 0

3 years ago

Determine the exact solution to the following in radians.

Sloan [31]

3sinx+1=sinx
2sinx+1=0
2sinx=-1
sinx=-1/2
x=sin^-1 (1/2) = 30 = $\pi$ /6 (when finding the inverse, always take the positive value, ignore the negative sign)
x is therefore negative in 3rd and 4th quadrant
Therefore values of x are:
180+30=210 = 7 $\pi$ /6
360-3=330 = 11 $\pi$ /6

3 0

2 years ago