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raketka [301]
3 years ago
6

Explain distributive property of 5×198

Mathematics
1 answer:
Molodets [167]3 years ago
6 0
5(100)= 500

5(90)= 450

5(8)= 40

500+450+40= 990

The answer is 990. Hope this helps!
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Eddie, 37 year old male, bought a $70,000, 20 year life insurance policy through his employer. Eddie is paid biweekly. How much
Tatiana [17]

Answer:

(c) 27.81

Step-by-step explanation:

We have been given a table that represents the amount of annual premium of ABC term life insurance company.

Since Eddie is 37 year old male and he bought a 20 year life insurance life policy, so the annual premium charged per $1000 of coverage will be $10.33.

Let us find the total annual premium by multiplying $10.33 by 70 as he bought a $70,000 policy.

\text{The annual premium paid by Eddie}=\$10.33\times 70

\text{The annual premium paid by Eddie}=\$323.18

Since biweekly means 26 times per year, so we will divide the annual premium by 26 to find the amount deducted from each of his paychecks.

\text{The amount deducted from each of Eddie's paychecks for life insurance}=\frac{\$323.18}{26}

\text{The amount deducted from each of Eddie's paychecks for life insurance}=\$27.81461538\approx \$27.81

Therefore, am amount of $27.81 is deducted from each of his paychecks for life insurance and option c is the correct choice.

5 0
3 years ago
Read 2 more answers
Assume x=x(t) and y=y(t). Find dx/dt if x^2(y-6) = 12y + 3 and dy/dt = 2 when x = 5 and y = 12
777dan777 [17]
x^2(y-6)=12y+3

Differentiate:

2x\dfrac{\mathrm dx}{\mathrm dt}(y-6)+x^2\dfrac{\mathrm dy}{\mathrm dt}=12\dfrac{\mathrm dy}{\mathrm dt}

Plug in everything you know: \dfrac{\mathrm dy}{\mathrm dt}=2, x=5, and y=12

2(5)\dfrac{\mathrm dx}{\mathrm dt}(12-6)+5^2(2)=12(2)\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac{13}{30}
6 0
3 years ago
Not an actual test question but just curious:
saveliy_v [14]

well, when we use the word "the function" we're referring to the dependent part, which depends on the independent, y,x wise, we're referring to the function "y" or f(x) if you wish.

so for an exponential function

is the function ever positive only? it can be

is it negative only?  it can be

can it be both?  sure thing, most of the time it's both

we can say a function f(x) is always positive when the independent values of "x" yield a positive value only, mind you that when we're talking about "the function" we're really referring to the resulting values in a set, so can the values of the output no matter what "x" we use be always positive? sure, can they also be negative only? sure, how about both? sure thing.

notice the template in the picture below, we can transform any exponential function like the one above 2ˣ with some vertical shift upwards, and is always positive, or -2ˣ with a vertical shift downwards and it's always negative, or we can stretch it about and have -2ˣ shifted upwards so sometimes is positive, and sometimes is negative.

above the x-axis is always positive, below is negative, but with transformations on the parent function it can be any of the three types.

3 0
2 years ago
What is the y-intercept of the graph of the equation 5x + (–2y) = 8?
alisha [4.7K]
The y-intercept of the graph equation is (0,-4)
8 0
3 years ago
Read 2 more answers
What can be concluded about a cylinder and a cone with the same height and radius measures? Check all that apply.
kvv77 [185]
The Formula's for a cylinder is V=\pir^2h and the volume of a Cone is V=1/3\pir^2h. So you would know that the volume of a cone is 1/3 the volume of a cylinder.
5 0
3 years ago
Read 2 more answers
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