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3 years ago

10

Danielle opens a credit card with an APR of 22.79% compounded monthly. How much is charged in interest this month if her balance

is $1550?

1 answer:

salantis [7]3 years ago

8 0

1550 * 0.2279 / 12 ( monthly interest is 1/12 of APR)

= $29.43

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Factor 4x 2 + 12x + 5 . (2x + 5)(2x + 1)

swat32

$4x^2 + 12x + 5=4x^2+2x+10x+5 \\ \\ =2x(2x+1)+5(2x+1)=(2x+5)(2x+1) \\ \\ \therefore4x^2+12x+5=(2x+5)(2x+1)$

8 0

3 years ago

A distribution x is known to have a mean value of 5 and a standard deviation of 5. what is its mean square value (i.e., the expe

telo118 [61]

$\mathbb V(X)=\mathbb E(X^2)-\mathbb E(X)^2$
$\implies 5^2=\mathbb E(X^2)-5^2$
$\implies\mathbb E(X^2)=50$

8 0

3 years ago

The ratio of pineapple juice to sparkling water that Sylvia and her

Zarrin [17]

Answer:

Step-by-step explanation:

Pineapple:Sparkling water

3:2

A: It's proportional as for every 3 pineapple juice require 2 water no matter how big or small, the ratio stays the same.

B: 3 times as much punch, basically multiply by 3

3(3):2(3)

9:6 pineapple:water

2 (water) = 4 quarts 1=2 quarts

9(2)=18

B: 18 quarts

7 0

2 years ago

Read 2 more answers

Evaluate 7(-4) - |-6| + |4| <br> A. 13<br> B.-18<br> C. -30

tester [92]

Hello there!

Answer: ⇒ C. -30

_________________________________________________________

Step-by-step explanation:

First you had to remove parenthesis.

$-7*4-|-6|+|4|$

Then you multiply by the number.

$=-28-|-6|+|4|$

Apply absolute value.

$|-6|=6$

$=-28-6+|4|$

Again apply absolute value.

$|4|=4$

$=-28-6+4$

Simplify it's should be the correct answer.

$=-30$

________________________________________________________________

Hope this helps!

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Have a great day!

-Charlie

_____________________________________________________

8 0

3 years ago

The graph of f ′ (x), the derivative of f of x, is continuous for all x and consists of five line segments as shown below. Given

Rom4ik [11]

$f'(x)\ge0$ for all $x$ in [-3, 0], so $f(x)$ is non-decreasing over this interval, and in particular we know right away that its minimum value must occur at $x=-3$ .

From the plot, it's clear that on [-3, 0] we have $f'(x)=-x$ . So

$f(x)=\displaystyle\int(-x)\,\mathrm dx=-\dfrac{x^2}2+C$

for some constant $C$ . Given that $f(0)=7$ , we find that

$7=-\dfrac{0^2}2+C\implies C=7$

so that on [-3, 0] we have

$f(x)=-\dfrac{x^2}2+7$

and

$f(-3)=\dfrac52=2.5$

5 0

4 years ago