Rose and Dennis each open a savings account at the same time. Rose invests $2,600 in an account yielding 4.1% simple interest, and Dennis invests $2200 in an account yielding 5.7% simple interest. After nine years, who has the greater total amount of money, and how much greater is it?

Answers

Answer 1

Answer: Simple interest is calculated by adding the principal amount with the product of the principal amount, interest rate and the the time or period.

Rose's money = P + PrtRose's money = 2600 + 2600(0.041)(9)Rose's money = $3559.4

Dennis' money = 2200 + 2200(0.057)(9)Dennis' money = $3328.6

Thus, Rose has the greater amount of money and is $230.4 greater than Dennis.

Answer 2

Answer:

Answer:

Rose has greater total amount of money than Dennis by $230.8 .

Step-by-step explanation:

Formula

$Simple\ interest = (Principle* Rate* Time)/(100)$

Amount = Principle + Simple interest

As given

Rose and Dennis each open a savings account at the same time.

Rose invests $2,600 in an account yielding 4.1% simple interest for 9 years .

Put all the values in the formula

$Simple\ interest = (2600* 4.1* 9)/(100)$

$Simple\ interest = (95940)/(100)$

Simple interest = $959.4

Thus

Amount = $2600 + $959.4

Amount = $ 3559.4

Thus total amount in the Rose saving account is $3559.4 .

As given

Dennis invests $2200 in an account yielding 5.7% simple interest for 9 years .

Put all the values in the formula

$Simple\ interest = (2200* 5.7* 9)/(100)$

$Simple\ interest = (112860)/(100)$

Simple interest = $1128.6

Thus

Amount = 2200 + 1128.6

Amount = $ 3328.6

Thus total amount in the Dennis saving account is $ 3328.6 .

As clearly Rose has greater amount of money as compared to Dennis .

Greater amount Rose has = Amount in the Rose saving account - Amount in the Dennis saving account .

Put values in the above

Greater amount Rose has in saving account = $3559.4 - $3328.6

= $ 230.8

Therefore the Rose has greater total amount of money than Dennis by $230.8 .

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Kate is at a T-shirt sale where she can buy one and get a second one for 30% off. She wants to buy two T-shirts listed at $19 each. How much will she pay?

Answers

So in this problem we can state that each T-shirt costs S19 each. And if Kate buys two she gets a 30% off with the second shirt she buys. And how much will she pay?

Solution:
1.       19 for each t-shirt
2.       Total of $38 if not provided with 30% off
3.       19 x 0.3 = 5.7
4.       Hence 30% of $19 is $5.7
5.       Next is we deduct $5.7 which is 30% of $19.
6.       19 – 5.7 = $13.3
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Use the discriminant to determine the nature of the roots of the quadratic equation

Answers

The given equation is in the form ax^2 + bx + c = 0, where

a = 2

b = -12

c = 18

Those a,b,c values are plugged into the discriminant formula below

d = b^2 - 4ac

d = (-12)^2 - 4(2)(18)

d = 144 - 144

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The discriminant is zero, so there is only one real root. This root is specifically a rational number.

The function p(x)=x(x-5)(x-2)(x+3) has four zeros. What is the smallest

Answers

Answer: The smallest zero is -3.

Step-by-step explanation:

Zeros of a function are the values of input for which the function gives 0 output.

Here, the given function is,

p(x) = x(x-5)(x-2)(x+3)

For finding the zeroes of p(x),

p(x) = 0

⇒ x(x-5)(x-2)(x+3) = 0,

⇒ x = 0 or x - 5 = 0 or x-2=0 or x+3=0

⇒ x = 0 or x = 5 or x = 2 or x = -3

Thus, the zeros of the given function are 0, 5, 2, -3

In which -3 is smallest.

you can get the zeros by equating each factor by zero
so we have 0 , 5 , 2 , -3
so the smallest one is (-3)

In a discount clothing store, all sweaters are sold at one fixed price and all shirts are sold at another fixed price. If one sweater and four shirts cost $45, while four sweaters and five shirts cost $92, find the price of one sweater and the price of one shirt.

Answers

Say SH is the shirt cost and SW is the sweater cost:
SW + 3SH = 42
3SW+2SH = 56

Solve the first for SW:
SW = 42-3SH

Plug that into the second:
3(42-3SH) +2SH = 56

Simplify:
126 - 9SH +2SH = 56
70 = 7SH
SH = 10

Plug this back into the SW formula:
SW = 42 - 3SH = 42 - 3*10 = 12

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Answers

do you need to factor? solve for x?

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Answers

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