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Makovka662 [10]
3 years ago
12

You invest 4,900 in an account that pays an interest rate of 5.5%, compounded continuously. Calculate the balance of your accoun

t after 6 years. Round your answer to the nearest hundredth.
Mathematics
1 answer:
beks73 [17]3 years ago
4 0
<span>In 6 years, you will have $6,815.57 = $6,800
Compounded daily.

</span>Compound Interest Equation

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period


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Laura babysat 8 nights during the month of July. She earned $22, $30, $35, $25, $25, $20, and $27 for seven nights. How much did
Svet_ta [14]

Answer:

$28

Step-by-step explanation:

Given:

data = [22,30,35,25,25,20,27]

For eight night, the new list is:

new_data = [22,30,35,25,25,20,27,x]

Mean = 26.50

Mean Formula:

\displaystyle \large{m=\dfrac{x_1+x_2+x_3+...+x_n}{n} }

Therefore:

\displaystyle \large{26.50=\dfrac{22+30+35+25+25+20+27+x}{8}}

Multiply both sides by 8:

\displaystyle \large{26.50\cdot 8=\dfrac{22+30+35+25+25+20+27+x}{8} \cdot 8}\\\displaystyle \large{212=22+30+35+25+25+20+27+x}

Solve for x:

\displaystyle \large{212=22+30+35+25+25+20+27+x}\\\displaystyle \large{212=184+x}

Subtract 184 both sides:

\displaystyle \large{212-184=184+x-184}\\\displaystyle \large{28=x}

Therefore, she will earn $28 in eighth night

The attachment below is the result of combining all eighth data as we get 26.5 through python language with numpy package.

7 0
2 years ago
Read 2 more answers
An iron ball has a density of 4 g/cm3.
navik [9.2K]
<h3>Answer:  60 grams</h3>

========================================================

Explanation:

m = mass

v = volume

d = density

The formula we use is

d = m/v

Multiplying both sides by v allows us to solve for m

d = m/v

d*v = m

m = d*v

Now plug in the given density (d = 4) and the given volume (v = 15) and simplify:

m = d*v

m = 4*15

m = 60 grams

Note how,

d = m/v

d = 60/15

d = 4

which helps confirm our answer

8 0
3 years ago
Jackson has a gift card for $120 to use at a department store. He wants to purchase 2 shirts and 3 pairs of pants with his gift
garri49 [273]
The answers is A because it shows the domain: 0 is less than or equal to x and less that on equal to 60
6 0
3 years ago
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Can I please get Help With this Question?
kow [346]

Choice B) Commutative Property is the answer

The commutative property of addition says that we can add two numbers in any order. For example: 2+3 = 5 and 3+2 = 5.

In general, the rule can be written as x+y = y+x. The x and y are simply placeholders for numbers. You can think of them as empty boxes to write a number inside. In this case, we have 7.2 for one of the boxes and -5.5 as the other value in the other box.

6 0
3 years ago
What is 46 minutes before 7:00am?
Svet_ta [14]
7 hours 00 minutes minus 46 minutes=6 hours 14 minutes or 7:00-00:46=6:14 am
8 0
3 years ago
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