Firstly, we have to find out what 10% of $25000 is. To do this, multiply $25000 by 0.1 (10% in decimal form): $\$25000 \times 0.1=\$2500$ . $2500 is the 10% raise.

Next, to find your first new salary, add $25000 and $2500 together: $\$25000+\$2500=\$27500$ . $27500 is your new salary after the 10% raise.

Next, we need to find 10% of $27500. It's a similar process as to finding 10% of $25000. $\$27500 \times 0.1=\$2750$ . $2750 is your 10% cut.

Next, since this is a cut, subtract $2750 from $27500. $\$27500-\$2750=\$24750$ . $24750 is your new salary after the 10% cut.

Next, to find the percentage change, firstly divide $24750 by $25000. $\frac{\$24750}{\$25000}=0.99\ \textsf{or}\ 99\%$ . Now this shows that your current salary is 99% of what you used to make. It is not how much less you make. To find how much less it is, subtract 99% from 100%: $100\%-99\%=1\%$ . Your current salary is 1% less than what you used to make.

6 0

3 years ago

At an effective annual interest rate of i > 0, each of the following two sets of payments has present value K: (i) A payment

IgorLugansk [536]

Answer:

The present value of K is, $K=251.35$

Step-by-step explanation:

First of all, we need to construct an equation system, so

$(1)K=\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}$

$(2)K=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}$

Then we equalize both of them so we can find $i$

$(3)\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}$

To solve it we can multiply $(3)*(1+i)^{4}$ to obtain $(1+i)^{4}*(\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}})$ , then we have $225(1+i)^{2}+225=169(1+i)^{3}+169(1+i)^{2}$ .

This leads to a third-grade polynomial $169i^{3}+451i^{2}+395i-112=0$ , after computing this expression, we find only one real root $i=0.2224$ .

Finally, we replace it in (1) or (2), let's do it in (1) $K=\frac{169}{(1+0.2224)} +\frac{169}{(1+0.2224)^{2}}\\\\K=251.35$

8 0

2 years ago

Joe was planning a business trip to Canada, so he went

nika2105 [10]

Answer:

2203.20 pesos

Step-by-step explanation:

Joe's original amount was $200

#We convert this amount to $CDN:

$\$1=1.02\$CDN\\\\=200\times 1.02\\\\=204\$CDN$

Joe now has to convert the Canadian dollars to Mexican pesos(at a rate of 10.8 pesos per $1 CDN):

$=204\times10.8\\\\=2203.2$

Hence, he gets a total of 2203.20 pesos in exchange for his Canadian dollars.

4 0

2 years ago

Read 2 more answers

Can anyone answer the 1st question with steps

azamat

Answer:

The cubed root of four hundred and forty-eight ∛448 = 7.6517247310896

Step-by-step explanation: Step by step simplification process to get cube roots radical form and derivative:First we will find all factors under the cube root: 448 has the cube factor of 16.Let's check this width ∛16*7=∛448. As you can see the radicals are not in their simplest form.Now extract and take out the cube root ∛16 * ∛7. Cube of ∛16=4 which results into 4∛7All radicals are now simplified. The radicand no longer has any cube factors.

6 0

2 years ago