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Ket [755]
3 years ago
13

Find the interest on a Principal Balance of $10,000 over the course of eight years with an interest rate of 5.5%. Do this for: S

imple Interest.
Mathematics
2 answers:
o-na [289]3 years ago
8 0
10,000$(1+0.055*8)
This is the formula of simple interest

10,000+10,000(0.055*t)
10,000$(1+0.055*8)=14,400
KIM [24]3 years ago
7 0

Answer:

Simple Interest : $ 4400

Step-by-step explanation:

We want to calculate the interest on $ 10,000, at 5.5% interest rate per year, over a course of 8 years.

We can use the simple interest formula here, or :

I = P × r × t,

Where P is the principle amount, $ 10,000, r is the interest rate, 5.5% each year, or in decimal form 5.5 / 100 = 0.055. t is the time, 8 years.

Simple Interest : 10000 × 0.055 × 8 =  $4400.00

Then again the interest can be added to the principal amount ( $10,000 ) to receive some new amount after 8 years, which is $ 14,000. However the simple interest earned in 8 years at a rate of 5.5% should be $4400.

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Simplify and express the result in power notation with positive exponent
Molodets [167]

Answer:

3²

Step-by-step explanation:

Given expression:

\sf (3^{-3} \div 3^{-10}) \times 3^{-5}

Following the <u>order of operations</u>, carry out the calculations inside the parentheses first.

\textsf{Apply the quotient exponent rule} \quad a^b \div a^c=a^{b-c}:

\implies \sf 3^{-3-(-10)} \times 3^{-5}

\implies \sf 3^{-3+10} \times 3^{-5}

\implies \sf 3^{7} \times 3^{-5}

\textsf{Apply the product exponent rule} \quad a^b \times a^c=a^{b+c}:

\sf \implies 3^{7+(-5)}

\sf \implies 3^{7-5}

\sf \implies 3^2

Learn more about exponent rules here:

brainly.com/question/27959936

brainly.com/question/24947526

4 0
1 year ago
Read 2 more answers
A landscaper wishes to make a rectangle flower garden that is twice as king as it is wide. Express the area of the garden as a f
Dima020 [189]

Answer:

L = 2w

A = L*W

A = 2w*w

A = 2w^2

Step-by-step explanation:

7 0
3 years ago
A building is 2 ft from a 7 - ft fence that surrounds the property . A worker wants to wash a window in the building 11 ft from
White raven [17]

<u>Answer:</u>

The height of the ladder is 14.491 feet

<u>Explanation</u>:

Given the height is 11 feet

Base = 7 + 2 = 9 feet

Consider the ladder to be the hypotenuse

Applying Pythagoras Theorem,  

H^2   = P^2 + B^2

Substituting the values in the above formula,

H^2  = 112 + 92

H^2  = 121 + 81

H^2 = 210

H = sqrt(210)

H = 14.491

Therefore, the height of the ladder is 14.491 feet

3 0
3 years ago
An unfair coin with​ Pr[H] = 0.2 is flipped. If the flip results in a​ head, a marble is selected at random from a urn containin
satela [25.4K]
Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2. 
H - head 
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T)   = 0.8
urn
3 red and 5 blue

when heads is obtained 
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12

when tails is obtained 
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3

using bayes rule the answer can be found out, 
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
               = 0.12 / (0.12 + 0.3)
               = 0.12 / 0.42
               = 0.286
the final answer is 0.286
6 0
3 years ago
Simplify 2y+(4+5y) expression
Pavlova-9 [17]
2y+(4+5y)
2y+4+5y
7y+4
4 0
3 years ago
Read 2 more answers
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