All categories

3 years ago

Select all that apply. Select the formulas that give the amount P in the account after the first period.

Mathematics

1 answer:

Lisa [10]3 years ago

4 0

Options :

a.) P=1.005Po

b.) P=1.02Po

c.) P=Po(0.02/4)

d.) P=Po(4.02/4)

e.) P=Po(1+ 0.02/4)

Answer:

a.) P=1.005Po

d.) e.) P=Po(1+ 0.02/4)

Step-by-step explanation:

From the compound interest formula:

P = P0(1 + r/n)^t

Rate = 2% = 2/100 = 0.02

n = Number of compounding times per period, quarterly ; n = (12 /3) months

P = P0(1 + 0.02/4)^1

P = p0(1 + 0.02/4)

Simplifying further :

P = P0(1 + 0.005)

P = p0(1.005)

You might be interested in

5. Select ALL of the following expressions that are linear functions (they do not need to be in slope-intercept form).

Anon25 [30]

Answer:

The following are the LINEAR functions.

$2x\:+\:4\:=\:3x\:-\:8$

$y = 3x - 2$

$3x\:+\:-y\:=\:24$

Step-by-step explanation:

We know that linear functions are the equations with a straight line graph in an XY plane.

Also, a linear function is a function of the form

$f(x)=mx+b$

where m is the slope and b is the y-intercept. The only power of the variable is 1.

So, from the given expressions we can determine that:

1) $y^2=\:5x\:+2$

$y^2=\:5x\:+2$ is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function

2) $2x\:+\:4\:=\:3x\:-\:8$

$2x\:+\:4\:=\:3x\:-\:8$

$x=12$

This is a linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1

3) $y = 3x - 2$

$y = 3x - 2$ is a linear function because it is of the form $f(x)=mx+b$ and the power of its x and y variables is 1. Hence, the function has a straight line graph.

4) $y\:+\:x^2\:=\:12$

$y\:+\:x^2\:=\:12$ is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

5) $y\:=\:x^2\:+\:2x$

$y\:=\:x^2\:+\:2x$ is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

6) $1$

$1$ is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree $0$ or is the $0$ polynomial.

7) $3x\:+\:-y\:=\:24$

$3x\:+\:-y\:=\:24$ is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.

In a summary, the following are the LINEAR functions.

$2x\:+\:4\:=\:3x\:-\:8$

$y = 3x - 2$

$3x\:+\:-y\:=\:24$

7 0

3 years ago

Lucia has 10 dimes and nickels worth a total of $0.60. Use the graph to find the number of dimes and nickels that Lucia has.

Reil [10]

The system has one solution, so it is consistent independent. The graphs intersect at the point (2, 8), which can be checked algebraically. Complete a table of values for each line.

The point (2, 8) is the solution to the system of equations. Since (2, 8) is the solution to the system of equations, Lucia has 2 dimes and 8 nickels.

hope it helps :) feel free to ask anymore questions

5 0

3 years ago

What is the fourth term of the expansion of the binomial (2x+5)^5?

Crank

Answer:

B) 5000x^2

Step-by-step explanation:

The exponent of x starts at 5 in the first term and decreases by 1 as the term numbers increase by 1. Hence, the 4th term will have 2 as the exponent of x. (It will have 5-2=3 as the exponent of 5.)

Pascal's triangle tells you the coefficients of the 6 terms in the expansion will be 1, 5, 10, 10, 5, 1, so the 4th term has a coefficient of 10.

The 4th term will be ...

10(2x)^2(5)^3 = 10·4·125·x^2 = 5000x^2

8 0

4 years ago

At a local grocery store, apples cost $0.50 each and bananas cost $0.30 each. The expression 0.50x + 0.30y can be used to find t

JulsSmile [24]

(1) x represents the number of apples bought, y represents the number of bananas.

(2) each term represents the total costs of a given fruit, so 0.50x is the total cost of apples and 0.30y is total cost of bananas.

(3) The coefficients are unit prices: coefficient 0.50 is the price of 1 apple, 0.30 is the price of 1 banana.

3 0

3 years ago

What is 11 1/8 as a decimal?

Vika [28.1K]

This means 11 + 1÷8

So 11 + 0.125

Final answer 11.125

Hope you understand :)

3 0

4 years ago