suppose a parabola has an axis of symmetry at x=-2 a minimum height at -6 and passes through the point (0,10)

Solve by substitution d+e=2 d-e=4

prisoha [69]

Solve for d in d + e = 2

d = 2 - e

Substitute d = 2 - e into d - 3 = 4

2 - 2e = 4

Since 2 - 2e = 4 is false, this is an inconsistent system

No solution exists.

3 0

3 years ago

2/4 times 1/4 = m IN SIMPLEST FORM

rjkz [21]

Answer:

Step-by-step explanation:

2/4 × 1/4 = (2×1)/(4×4) = 2/16 = 1/8

5 0

3 years ago

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At the time of her grandson's birth, a grandmother deposits $ 3000 in an account that pays 3 % compounded monthly. What will be

GaryK [48]

Answer:

The value of the account will be $5,628

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=21\ years\\ P=\$3,000\\ r=3\%=3/100=0.03\\n=12$

substitute in the formula above

$A=3,000(1+\frac{0.03}{12})^{12*21}$

$A=3,000(1.0025)^{252}$

$A=\$5,628$

therefore

The value of the account will be $5,628

5 0

4 years ago

Jackie makes an $800 deposit into a bank account earning 4.5% interest.

Pepsi [2]

Answer:

a. $1251.5

b. $1254.64

c. 15.4 years

d. 30.56 years

Step-by-step explanation:

Given the information:

Principle (P) = $800
Interest = 4.5%

As we know, the formula to find the future value of Jackie deposit with interest is compounded monthly, quaterly, ..is

$A=P(1+\frac{r}{n} )^{nt}$ where:

P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time

Hence:

a. If the interest is compounded quarterly how much money will Jackie have in 10 years?

$A=P(1+\frac{r}{n} )^{nt}$

<=> $A=800(1+\frac{0.045}{4} )^{4*10}$

<=> A = $1251.5

d. If Jackie's money is compounded monthly, how long will it take her money to triple?

<=> $A=P(1+\frac{r}{n} )^{nt} = 3*800$

<=> $800(1+\frac{0.045}{12} )^{12*t} = 2400$

<=> $(1+\frac{0.045}{12} )^{12*t} = 3$

<=> t = 30.56 years

As we know, the formula to find the future value of Jackie deposit with interest is compounded continuously

A = P* $e^{rt}$ where e is the mathematical constant approximated as 2.7183.

b. If the interest is compounded continuously how much money will Jackie have in 10 years?

<=> A = 800* $2.7183^{0.045*10}$

<=> A = $1254.64

C. If Jackie's money is compounded continuously, how long will it take her money to double?

<=> P* $e^{rt}$ = 2*800

<=> 800* $2.7183^{0.045*t}$ = 1600

<=> $2.7183^{0.045*t}$ = 2

<=> t = 15.4 years

8 0

3 years ago

How do you write 5.9 in expanded form

tresset_1 [31]

Answer:
(5 * 1) + (9 * 0.1).

Explanation:
To write a number in expanded form you have each digit multiplied by its numbers place and add each digit together. 5 is in the ones place so it becomes (5 * 1).
9 is in the tenths place so it becomes (9 * 0.1).
add them together to get (5 * 1) + (9 * 0.1)

3 0

3 years ago

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