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xeze [42]
3 years ago
15

the functions f(x) and g(x) are described using the following equation and table: f(x) = −6(1.02)x x g(x) –1 –5 0 –3 1 –1 2 1 wh

ich equation best compares the y-intercepts of f(x) and g(x)? the y-intercept of f(x) is equal to the y-intercept of g(x). the y-intercept of f(x) is equal to 2 times the y-intercept of g(x). the y-intercept of g(x) is equal to 2 times the y-intercept of f(x). the y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
Mathematics
2 answers:
amid [387]3 years ago
3 0
F(x) = -6(1.02)^x has a y-intercept at f(x) = -6(1.02)^0
f(x) = -6(1)
f(x) = -6
f(x) has a y-intercept at (0, -6)

g(x) has a y-intercept at (0, -3)

Therefore, the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
kirill115 [55]3 years ago
3 0

The functions f(x) and g(x) are described using the following equation and table: f(x) = −6(1.02)x x g(x) –1 –5 0 –3 1 –1 2 1 which equation best compares the y-intercepts of f(x) and g(x)?

Answer:

the y-intercept of f(x) is equal to 2 times the y-intercept of g(x)

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Ian puts 300.00 into an account to use for school expenses the account earns 6%interest compounded annually how much will be in
romanna [79]

This problem is about componded interest. The formula for compounded interest is:

\begin{gathered} \text{Amount}=\text{Initial}\cdot(1+r)^t \\ \text{Where,} \\ \text{Amount is the total acumulative at time t.} \\ \text{Initial is the initial amount, at t=0} \\ r\text{ is the interest in decimal number.} \\ t\text{ is the time accordingly the interest, in this case is in years.} \end{gathered}

In this case, Initial = 300, r = 0.06 and t=10 so the total amount in the account after 10 years is:

\begin{gathered} \text{Amount}=300\cdot(1+0.06)^{10} \\ \text{Amount}=300\cdot1.06^{10} \\ \text{Amount}=300\cdot1.79085 \\ \text{Amount}=537.255 \end{gathered}

The amount after 10 years is 573.26.

4 0
1 year ago
Kareem purchased several packs of gum to place in gift baskets for $1.26 each. He spent a total of $8.82. How many packs of gum
777dan777 [17]

Answer: 7 packs of gum.

Step-by-step explanation:

If the total amount of the purchase is $8.82 and the individual price is $1.26, to find out how many packs Kareem purchased, we need to divide the total amount spent ($8.82) by the amount of each pack ($1.26), so:

8.82 ÷ 1.26 = 7

So, Kareem bought 7 packs of gum.

5 0
4 years ago
Magnitude statistics allow one to draw general conclusions about a population from information collected in a population sample.
kow [346]

inferential statistics allows for someone to draw conclusions about a population from the information collected in a population sample.

the qestion is incomplete .please read below to find the missing content

Which of the following allows for someone to draw conclusions about a population from the information collected in a population sample?

a. magnitude statistics

b. central tendency

c. inferential statistics

d. effect size

The population is the number of people living together in a place. The population of a city is the number of people living in that city. These people are called residents or residents. The population includes all individuals living in that particular area.

Population refers to the total number of organisms living in a particular area. Population helps us estimate the number of beings and know how to act accordingly. For example, knowing the exact population of a city allows us to estimate the number of resources required. Similarly, animals can do the same.

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5 0
2 years ago
Jake bought 2 shirts and 1 pair of pants for $6. Mike bought 1 shirt and 1 pair of pants for $4. How much is each shirt and each
EastWind [94]

The cost of a shirt and a pair of pants is the same and is equal to $2. The correct option is B.

<h3>What is a solution to a system of equations?</h3>

For a solution to be the solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at a single point(as we need a common point, which is going to be the intersection of course)(this can be one or many, or sometimes none)

Let x represent the cost of a shirt, while y represent the cost of a pair of pants.

Given that Jake bought 2 shirts and 1 pair of pants for $6. Therefore, the equation that represents this situation is,

2x + y = 6 ..... equation 1

Also, Mike bought 1 shirt and 1 pair of pants for $4. Therefore, the equation that represents this situation is,

x + y = 4

Solve the equation for x,

x = 4 - y

Substitute the value of x in equation 1,

2x + y = 6

2(4 - y) + y = 6

8 - 2y + y = 6

-y = 6 - 8

-y = -2

y = 2

Substitute the value of y in equation 1,

2x + y = 6

2x + 2 = 6

2x + 2 = 6

2x = 6 - 2

2x = 4

x = 4/2

x = 2

Hence, the cost of a shirt and a pair of pants is the same and is equal to $2.

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6 0
2 years ago
4.4 pounds of sugar for $2.35 or 10<br> pounds of sugar for $4.99
Marianna [84]

4.4 pounds $2.35 = $.53 per pound

10 pound $4.99 = $ .49 per pound

4 0
3 years ago
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