The amount of money left on a loan that kira owes her grandmothers is represented by the function k(t)= 280(.88)^t where k(t) represents the amount of money left on the loan and t tepresents the time, in years.1) Identify k(t) as growth or decay and explain your answer.

2) Name A0, startinf amount and explain what it represents.
3) Find r,the percent change and explain what it represents.
thank youso much!!!

Answers

Answer 1

Answer: Given:
k(t) = 280 (.88)^t

t k(t)
0 280
1 246.40
2 216.83
3 190.81
4 167.91
5 147.76

k(t) is decay. The amount decreases as the number of years increases. This means that the loan is being paid off until it becomes 0.

280 is the starting amount. It is the amount loaned.

88% of the previous years amount is the remaining balance for the current year.

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Which term of the AP:3,15,27, 39,.....will be 132 more than its 54th term

Triangles practice, need help.

Answers

Y is 15 and x is 14 mark me as brainless

x = 13, assuming they are the same length.
Using the pythagorean Theorem formula (a^2 + b^2 + c^2) Plug in A and B (13, and 13).
(13)^2 + (13)^2 = c^2
13 • 13 + 13 • 13 = c^2
169 + 169 = c^2
v/338 = v/c^2 (square root them both)
Then you can have your answer for y, hope this helps

Rewrite the following quadratic functions in intercept or factored form. Show your work.f(x) = 3x^2 - 12

Answers

Answer:

f(x) = 3(x+2)(x-2)

Step-by-step explanation:

We are given the following the quadratic function and we are to rewrite it in intercept or factored form:

$f(x) = 3x^2 - 12$

We can factorize the given function so taking the common factors out of it to get:

$f(x)=3x^2 - 12$

$f(x) = 3 (x^2 - 4)$

The term $(x^2-4)$ is in the form $a^2-b^2$ so it can further be factorized to give:

$f(x) = 3 (x+2)(x-2)$

Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).

Answer:

3(x-2)(x+2)

Step-by-step explanation:

Given equation is :

f(x) = 3x²-12

We have to rewrite the given function in factored or intercept form.

Since, we know that 3 and 12 are multiples of 3.

taking 3 as common , we get

f(x) = 3(x²-4)

using differernce formula in above equation , we get

a²-b² = (a-b)(a+b)

f(x) = 3(x-2)(x+2)

Hence, the given factors are 3,(x-2) and (x+2).

What is the combined version of the equations 5.2*10^6 and 2.47*10^8

Answers

Answer:To solve the system of equations using substitution, we'll start by solving one equation for one variable, and then substitute that expression into the other equation.

Let's solve the second equation, y = 3x - 7, for y:

y = 3x - 7 (Equation 2)

Now, we can substitute this expression for y in the first equation, 2x + y = 3:

2x + (3x - 7) = 3

Combining like terms, we have:

5x - 7 = 3

Adding 7 to both sides of the equation, we get:

5x = 10

Dividing both sides of the equation by 5, we have:

x = 2

Now that we have the value of x, we can substitute it back into one of the original equations to find the value of y. Let's use Equation 2:

y = 3x - 7

Substituting x = 2, we have:

y = 3(2) - 7

Simplifying the expression, we get:

y = 6 - 7

y = -1

Therefore, the solution to the system of equations is x = 2 and y = -1.

We can also check this solution by substituting the values of x and y back into both original equations to make sure they satisfy both equations.

A pooling equilibrium exists as long as the number of Type H customers in the market is relatively low.

True or False

A pooling equilibrium exists as long as the number of Type H customers in the market is relatively high.

True or False

Brainly Ginny character avatar

AI-generated answer

A pooling equilibrium exists when all customers, regardless of their type, are offered the same product or service. In a pooling equilibrium, the market does not differentiate between different customer types.

Given the statement "A pooling equilibrium exists as long as the number of Type H customers in the market is relatively low," we can analyze its truthfulness:

If the number of Type H customers in the market is relatively low, it means that there are fewer customers of Type H compared to other types. In this scenario, it is more likely that the market will offer a single product or service that caters to the majority of customers, including non-Type H customers. Therefore, it is true that a pooling equilibrium is more likely to exist when the number of Type H customers is relatively low.

On the other hand, if the number of Type H customers in the market is relatively high, it means that there is a significant presence of Type H customers. In this case, the market might be inclined to offer specialized products or services that specifically cater to the needs and preferences of Type H customers. This would result in a segmentation or differentiation of the market, which contradicts the concept of a pooling equilibrium. Therefore, it is false to say that a pooling equilibrium exists when the number of Type H customers is relatively high.

To summarize:

- A pooling equilibrium is more likely to exist when the number of Type H customers in the market is relatively low. (True)

- A pooling equilibrium is less likely to exist when the number of Type H customers in the market is relatively high. (False)

what is the combined version of the equations 5.2*10^6 and 2.47*10^8

Brainly Ginny character avatar

AI-generated answer

To find the combined version of the given equations 5.2*10^6 and 2.47*10^8, we need to add or subtract the numbers and keep the same power of 10.

The numbers in scientific notation have two parts: the coefficient and the power of 10. In this case, we have:

5.2 * 10^6 and 2.47 * 10^8

To combine them, we need to make sure that the powers of 10 are the same. We can do this by adjusting the coefficients.

First, let's adjust the coefficient of 5.2*10^6. We can do this by multiplying it by 10^2:

5.2 * 10^6 * 10^2 = 5.2 * 10^(6+2) = 5.2 * 10^8

Now that we have adjusted the coefficient of 5.2*10^6, we can combine it with 2.47*10^8:

5.2 * 10^8 + 2.47 * 10^8 = (5.2 + 2.47) * 10^8 = 7.67 * 10^8

Therefore, the combined version of the equations 5.2*10^6 and 2.47*10^8 is 7.67*10^8.

What is the total amount that First Consumer Bank will receive after lending Jane $7,000 for three years at an interest rate of 5 percent, compounded annually?

Answers

Answer: $8103.375

Step-by-step explanation:

The compound amount after x years is given by :-

$A=P(1+r)^x$ , where p is the principal amount , r is the rate of interest .

Given: The principal amount = $7,000

The rate of interest per year = 5 % = 0.05

Time in years = 3

Then, the compound amount is given by :_

$A=7,000(1+0.05)^3\n\n\Rightarrow\ A=7,000(1.05)^3\n\n\Rightarrow\ A=\$8103.375$

take you amount and add 1 with the interest in brackets. close the brackets and square your year, then calculate.

formula:
7000(1+5%) multiplied by the year
=8103.38

I am factor of 48, I am bigger than 4 square. I am smaller than 5. WHAT IS THE MYSTERY NUMBER

Answers

If it is betwern 4² and 5² and is a factor of 48,Then it must be 24 as 24*2=48

48 would be your answer, this is a number between the factors 4^2 & 5^2

36% of what number is 27?

Answers

$x-\ number\n\n36\%x=27\n\n0,36x=27\ \ \ \ | divide\ by\ 0,36\n\nx=75\n\n27\ is\ 36\%\ of\ 75.$

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