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3 years ago

Name the algebraic property demonstrated in the example below: 3 • (x • y) = (3 • x) • y

Mathematics

1 answer:

Orlov [11]3 years ago

4 0

Answer:

Associative Property

Step-by-step explanation:

hey! This is an example of the associative property because your are changing where the parentheses are located. Just remember that when using the associative property, you are changing who the values are associating themselves with. PLS MARK BRAINLIEST! Thank you! Hope this helps.

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Find the payment necessary to amortize a 6.3% loan of 7500 compounded semiannually, with 6 semiannual payments. Find the payment

Lorico [155]

Answer:

Semiannual payment = $ 1391.37

Total payment = $ 8348.22

Interest paid = $ 848.22

Step-by-step explanation:

Since, the semiannual payment formula of a loan,

$P=\frac{PV(\frac{r}{2})}{1-(1+\frac{r}{2})^{-n}}$

Where,

PV = present value of the loan,

n = number of semiannual payments,

r = annual rate,

Here, PV = 7500, r = 6.3% =0.063, n = 6,

By substituting the value,

The semiannual payment would be,

$P=\frac{7500(\frac{0.063}{2})}{1-(1+\frac{0.063}{2})^{-6}}$

$\approx \$ 1391.37$

Also, total payment = semiannual payment × total semiannual periods

= 1391.37 × 6

= $ 8348.22,

Also, the interest paid = total payment - present value

= 8348.22 - 7500

= $ 848.22

6 0

3 years ago

Maria works as a part- time waitress and earns $30 per day plus 2% of all sales of food and drinks during the day

ollegr [7]

Answer:

$y = 30 + 0.02x$

Step-by-step explanation:

Required

Write an equation to present her daily earnings?

Let daily sales be represented by x and daily earnings be represented by y.

y is calculated as thus;

$y = Earnings + Commission * Sales$

$y = 30 + 2\% * x$

Convert percentage to decimal

$y = 30 + 0.02 * x$

$y = 30 + 0.02x$

Hence, her daily earnings is $y = 30 + 0.02x$

5 0

3 years ago

Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2.

irina [24]

The approximate width of Alice's backyard is 22.36 in.

Let l be the length of the rectangle and w be the width.
l = 2w
A = 1000 m2 = l*w
1000 m2 = 2w *w
500 m2 = w^2
√500 m2 = √w^2
w = 22.360679775 in or 22.36 in

Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.

8 0

3 years ago

Read 2 more answers

NEED AN ANSWER ASAP!!! WILL REWARD HANDSOMELY!!!

Mrrafil [7]

I think the answer will be 5?