Imagine I had a magic spell that could make your house bigger. If you want the biggest house, which spell would you use?

A bank credit card charges interest at the rate of 24% per year, compounded monthly. If a senior in college charges $1,500 to pa

pickupchik [31]

Answer: 1902.36

Step-by-step explanation:

When interest is compounded monthly , the formula to find the accumulated amount is

$A=P(1+\dfrac{r}{12})^{12t}$ , where P = principal value , r = rate of interest , t = time.

As per given,

r= 24% = 0.24

P= $1500

t= 1 year

Put all value in formula , we get

$A= 1500(1+\dfrac{0.24}{12})^{12\times 1}\\\\=1500(1+0.02)^{12}\\\\=1500(1.02)^{12}\\\\=1500(1.26824179456)\approx1902.36$

Hence, he need to pay $1902.36.

8 0

3 years ago

A bag of rice weighs 2.5 pounds. How many ounces is that?

blondinia [14]

40 ounces is 2.5 pounds because each pound is 16 ounces

3 0

3 years ago

Read 2 more answers

A researcher claims that the mean cost of raising a child from birth to age 2 by husbandwife families in the U.S. is $13,960. A

irina1246 [14]

Answer:

Yes, there enough evidence to reject the claim.

Step-by-step explanation:

Here we need to perform a test for single mean to determine whether the mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960.

The hypothesis is:

H₀: The mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960, i.e. µ = $13,960.

Hₐ: The mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960, i.e. µ ≠ $13,960.

The information provided is:

$\ar x=13725\\\sigma=2345\\n=500\\\alpha =0.10$

The test statistic is:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{13725-13960}{2345/\sqrt{500}}=-2.24$

The test statistic value is -2.24.

Compute the p-value for this test statistic value at 10% level of significance as follows:

$p-value=2\times P(Z$

$=2\times 0.01255\\=0.0251$

Use the z-table.

The calculated p-value is, 0.0251 < 0.10, therefore the null hypothesis will be rejected.

Conclusion:

As the null hypothesis is rejected at 10% level of significance it can be concluded that there enough evidence to reject the claim.

The mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960.

5 0

3 years ago

How do you factor 7x^{2}+29x+4

Gala2k [10]

When you have a coefficient in front of the "x^2" value, you have to multiply it by the end value (4)

so you want a set of integers that will add up to 29, by multiple to (7 x 4) = 28

The only numbers like that are 28 and 1, they add up to 29 and multiply to 29

Therefore, rewrite it like this 7x^2 + 28x + x + 4

and then factor out the 7x in the first two terms, to get this

7x(x+4) + x + 4, then factor out 1 in the latter two terms to get this:

7x(x+4) +1(x+4), then use grouping to combine what you've got:

The factors are: {{ (7x+1)(x+4) }}

7 0

3 years ago

Answers and work for answers please

larisa [96]

Answer:

1) 5 2) 6 3) 1.25 or -1.75

Step-by-step explanation:

1. x^2 - 25 = 0

x^2 - 25 = 0

First, add 25 to both sides!

x^2 = 25

Now square root both sides.

x = 5

2. (x-2)^2 = 16

First, square root both sides.

(x-2) = 4

Add 2 on both sides.

(x) = 6

x = 6

3. Quadratic Formula = -b ± $\sqrt{b^{2}-4ac }$ / 2a

Substitute in:

-6 ± $\sqrt{7^{2} -4(2)(6)}$ / 2(2)

-6± $\sqrt{49 - 48}$ / 4

Both forms:

-6 + $\sqrt{1}$ / 4

5 / 4 = 1.25

Negative:

-6 - 1 / 4

-7 / 4 = -1.75

8 0

2 years ago