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mina [271]
3 years ago
5

If the APR of a savings account is 5.3% and interest is compounded quarterly,

Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0

Answer:

5.41%

Step-by-step explanation:

Let us assume that x amount is invested in a savings account with APR 5.3% and the interest is compounded quarterly.

Then the quarterly percentage rate is \frac{5.3}{4} =1.325%.

Therefore, the amount x will become after one year  

x[1+ \frac{1.325}{100} ]^{4}  = 1.0541x

Therefore, the annual percentage yeild will be \frac{(1.0541x - x) \times 100}{x} % = 5.41%. ( Answer )

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Please help, me I just need to know how to set it up the 2 equation on both.
Ronch [10]
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7 0
2 years ago
13 cans of paint with 5/6 liters of paint in each were used to paint 4 identical cars. How can you calculate the amount of paint
brilliants [131]

Answer:

(B) 5/6 ·13÷4

(C) 5/6 ÷4·13

(D) 5/6 · 13/4

Step-by-step explanation:

Amount of paint per can = \[\frac{5}{6}\] liters.

Number of cans used to paint 4 cars = 13

Total amount of paint used for 4 cars = \[13 * \frac{5}{6}\] liters.

= \[\frac{13 * 5}{6}\] liters.

= \[\frac{65}{6}\] liters.

Total amount of paint used for 1 car = \[\frac{65}{6} \div 4\] liters.

= \[\frac{65}{24}\] liters.

Of the given options, option B,C and D correspond to the same value.

3 0
3 years ago
Graph the function. Describe its position relative to the graph of the indicated function
sweet [91]

Answer:

C

Step-by-step explanation:

If the parent function is function y=f(x) and a>0, then

  • the graph of the function y=f(x-a) is translated a units to the right graph of the parent function;
  • the graph of the function y=f(x+a) is translated a units to the left graph of the parent function;
  • the graph of the function y=f(x)+a is translated a units up graph of the parent function;
  • the graph of the function y=f(x)-a is translated a units down graph of the parent function.

In your case, the grapgh of the function y=2^x+2 is translated 2 units up the graph of the function y=2^x.

6 0
3 years ago
Read 2 more answers
Belinda's GPS system worth $400 was stolen out of her car. If Belinda's insurance policy summary is given below, how much will B
Pavlova-9 [17]
She will receive $25.

They will take her claim and subtract the comprehensive deductible from it (comprehensive is the insurance that covers theft, not collision).

400-375=25
5 0
3 years ago
Read 2 more answers
Two cars leave Phoenix and travel along roads 90 degrees apart. If Car 1 leaves 60 minutes earlier than Car 2 and averages 40 mp
prohojiy [21]

Answer:

The two cars will be almost 188 miles far from each other.

Step-by-step explanation:

Travel Time for Car 1 = t = 3.5 hours

Travel time for Car 2 = t-1 = 3.5 - 1 = 2.5 hours

Average speed of car 1 = 40 mph

Average speed of car 2 = 50 mph

Distance traveled by Car 1 = 40*3.5 = 140 miles

Distance Traveled by Car 2 = 50*2.5 = 125 miles

As both the roads are at a 90 degree angle. The path of the two cars and the joining line of their final position forms a right angle triangle where:

altitude = a = 140

base = b = 125

Distance of cars after 3.5 hours = c = ?

According to Pythagoras theorem:

c^2 = a^2 + b^2

c^2 = 140² + 125²

c² = 19600+15625

c = √35225

c = 187.68

Almost 188 miles.

5 0
2 years ago
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