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trasher [3.6K]
3 years ago
9

How much more interest is earned on an investment of $12,585 at 3.5% interest over 5 years if the interest is compounded annuall

y rather than earning simple interest? a. They are the same. b. $159.65 c. $2,362.03 d. $12,744.65
Mathematics
2 answers:
sdas [7]3 years ago
7 0

Answer:

The answer is c because your total account is $12,585 * 1.035^5=14947. Subtracting the original amount, you get 2362.03 total interest.

Hope the explanation is right.

prohojiy [21]3 years ago
3 0

Answer:

b

Step-by-step explanation:

with compounded interest is 14,947.03

simple interest is 14,787.37

14,947.03—14,787.37=159.65

you're looking for the difference between compounded and simple

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Hank has to drain his pool so repairs can be done on a crack on the bottom. The company coming to fix the pool is scheduled to a
Alik [6]

Answer:

The answer to the question: "Will Hank have the pool drained in time?" is:

  • <u>Yes, Hank will have the pool drained in time</u>.

Step-by-step explanation:

To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:

  • Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")
  • Available time =  360 minutes

Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:

  • Volume of the pool = Deep * Long * Wide
  • Volume of the pool = 2 m * 10 m * 8 m
  • Volume of the pool = 160 m^3

Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:

  • 1 m^3 = 264.172 gal

Now, we use a rule of three:

If:

  • 1 m^3 ⇒ 264.172 gal
  • 160 m^3 ⇒ x

And we calculate:

  • x = \frac{160 m^{3}*264.172 gal }{1m^{3} } (We cancel the unit "m^3)
  • x = 42267.52 gal

At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:

  • Time to drain the pool =\frac{42267.52gal}{130\frac{gal}{min} }(We cancel the unit "gallon")
  • Time to drain the pool = 325.1347692 minutes
  • <u>Time to drain the pool ≅ 326 minutes</u> (I approximate to the next number because I want to assure the pool is drained in that time)

As we know, <u><em>Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes</em></u>.

7 0
3 years ago
if a right triangle has one side measuring 3√2 and another side measuring 2√3, what is the length of the hypotenuse?
lina2011 [118]

Answer:

<h2>\sqrt{30}</h2>

Step-by-step explanation:

Given,

Perpendicular ( p ) = 3√2

Base ( b ) = 2√3

Hypotenuse ( h ) = ?

Now, let's find the length of the hypotenuse:

Using Pythagoras theorem:

{h}^{2}  =  {p}^{2}  +  {b}^{2}

plug the values

{h}^{2}  =  {(3 \sqrt{2} )}^{2}  +  {(2 \sqrt{3} )}^{2}

To raise a product to a power, raise each factor to that power

{h}^{2}  = 9 \times 2 + 4 \times 3

Multiply the numbers

{h}^{2}  = 18 + 12

Add the numbers

{h }^{2}  = 30

Take the square root of both sides of the equation

h =  \sqrt{30}

Hope this helps...

Best regards!!

6 0
3 years ago
Read 2 more answers
Please help I’m so close to passing math
kirill115 [55]

Answer:

$0.14 per ounce of salsa

Step-by-step explanation:

2.80/20

Move decimal to make the number a whole number

(Have to move the decimal the same amount of spaces)

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Hope this helps. Have a nice day

8 0
2 years ago
Read 2 more answers
What is 20% off 59.00?
Kaylis [27]
Step 1. convert percent to decimal form -- 20%=0.20

step 2. multiply percent decimal form to whole value -- 0.20*59.00

step 3. ???

step 4. profit
7 0
3 years ago
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Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 3a cubed and 4a cubed
Over [174]

Answer:

106.4622 a^{3}

Step-by-step explanation:

Given the information:

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  • Leg lengths of (3a)^{3} and (4a)^{3}

Use the pytagon theory to find the hypotenuse of the triangle

a^{2}  + b^{2}  = c^{2}

<=>((3a)^{3}) ^{2}  + ((4a)^{3}) ^{2}  = c^{2}

<=>(3a)^{6} + (4a)^{6} = c^{2}  

<=> c^{2}  = 4285a^{6}

Take the square root of both sides

<=> c = 69.4622 a^{3}

=> expression in simplest form for the perimeter of a right triangle is:

(3a)^{3} + (4a)^{3} + 69.4622 a^{3}  

= 27a^{3}  + 64a^{3}  + 69.4622 a^{3}  

= 106.4622 a^{3}

8 0
3 years ago
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