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BabaBlast [244]
3 years ago
14

The table shows the diameters of three planets:

Mathematics
1 answer:
Sonbull [250]3 years ago
6 0
Uranus = 530.4
Neptune = 509.6
Saturn = 126
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Solve equation for the given variable
Alenkinab [10]

Answer:

p=30

Step-by-step explanation:

First, you need to subtract 10 from both sides to get 1/2p=25. You do this just because simplifying is much easier.

Then, you need to isolate p, so you divide 1/2 by both sides, which is the same thing as multiplying by 2. 1/2*2p=15*2.

Simplifying, you get p=30.

8 0
3 years ago
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Leon has a gift card for $100. He spent $65 of it on books. What is the new balance in Leon's card?
Grace [21]

Answer:

$35

Step-by-step explanation:

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3 years ago
Mary would like to save $10 000 at the end of 5 years for a future down payment on a car
suter [353]

Answer:

a) $161.8

b i) Approximately 327.7 hours

ii) The cost of saving is less but the opportunity cost of saving can be higher with regards to technology and regulation

Step-by-step explanation:

The amount Mary would like to save, FV = $10,000

The time Mary over which Mary intends to save the amount, t = 5 years

Therefore, the number of monthly payments, n = 12

a) The amount in interest the bank pays compounding, i = 1.2% per annum

The amount that Mary will deposit each month is given as follows;

The compound interest formula is given as follows;

PMT = \dfrac{FV}{\left (\dfrac{ \left (1 + \dfrac{i}{12}  \right )^n - 1}{ \dfrac{i}{12}} \right)}

Where;

PMT = The monthly payment

Therefore, we get;

PMT = \dfrac{10,000}{\left (\dfrac{ \left (1 + \dfrac{0.012}{12}  \right )^{60} - 1}{ \dfrac{0.012}{12}} \right)} \approx 161.8

PMT = 10,000/((1 + 0.012/12)^(60) - 1)/(0.012/12)) ≈ 161.8

The amount she needs to deposit monthly, PMT ≈ $161.8

b i) Given that the minimum wage varies and we have a minimum wage here is officially approximately $79, which is 160 hours a month work

The number of hours work needed = 161.8/79 × 160 ≈ 327.7 hours a month approximately

b ii) Given that the interest rate for saving is lower than the interest rate for borrowing, the amount paid by saving is much lesser than the amount paid back when borrowing, therefore, it is more cost effective to save

However, while saving, changes may take place, such as the use of what is being saved for, therefore, it can be more beneficial to borrow and make use of the items now while they are still available and acceptable, such as the drive towards net zero is making fuel based cars less popular with the drive being towards electric cars.

7 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
zysi [14]

5x^3=405x\ \ \ \ |-405x\\\\5x^3-405x=0\\\\5x(x^2-81)=0\iff 5x=0\ \vee\ x^2-81=0\\\\5x=0\ \ \ \ |:5\\\boxed{x=0}\\\\x^2-81=0\ \ \ |+81\\x^2=81\to x=\pm\sqrt{81}\to \boxed{x=\pm9}\\\\Answer:\ x=-9\ or\ x=0\ or\ x=9

5 0
4 years ago
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For every 10 middle school students in the US,6 play sports.There are 956 students at CMS.How many play sports
Amanda [17]

Answer:

about 96 students

Step-by-step explanation:

round 956 to 960

divide 960 by 6

96

8 0
3 years ago
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