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Sveta_85 [38]
3 years ago
10

Find the future value and interest earned if $8906.54 is invested for 9 years at 6% compounded continuously 

Mathematics
1 answer:
dalvyx [7]3 years ago
4 0
To find the future value the formula is
A=p e^rt
A future value?
P present value 8906.54
R interest rate 0.06
T time 9 years
E constant
A=8,906.54×e^(0.06×9)
A=15,283.68

To find the interest earned the formula is
I=A-p
I=15,283.68−8,906.54
I=6,377.14
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Mademuasel [1]
She has 9/8 cups of brown sugar as a fraction.  As a decimal, which is easier to work with here, it is 1.125.  She needs 1.5 cups.  If we set this up as a proportion, we can figure out how many cookies she can make meeting the restriction of brown sugar, and then scale the other ingredients down accordingly.  To figure the number of cookies, our proportion will have brown sugar on top and number of cookies on bottom.  What we are looking for is the number of cookies she can make with 1.125 cups of brown sugar when she can make 24 with 1.5 cups of brown sugar.  \frac{1.5}{24}= \frac{1.125}{x}.  Cross multiply to get 1.5x = 27 and x = 18.  She can make 18 cookies.  Now let's backtrack to the ingredients based on the number of cookies we can make.  Set each ingredient up in a proportion with the ingredient on top and the number of cookies on the bottom.  First ingredient you want is flour.  2.25 cups of flour make 24 cookies and we need to find out how much flour will we need to make 18 cookies.  \frac{2.25}{24}= \frac{x}{18}.  Cross multiply to get 24x = 40.5 which simplifies to x = 27/16 or 1 11/16 cups of flour.  Do all the ingredients in the same way and you'll be fine!
4 0
3 years ago
5x + 4 = 9 + 5(x - 1)​
Wittaler [7]

Answer:

All real numbers are solutions!

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+4=9+5(x−1)

Step 1: Simplify both sides of the equation.

5x+4=9+5(x−1)

5x+4=9+(5)(x)+(5)(−1)(Distribute)

5x+4=9+5x+−5

5x+4=(5x)+(9+−5)(Combine Like Terms)

5x+4=5x+4

5x+4=5x+4

Step 2: Subtract 5x from both sides.

5x+4−5x=5x+4−5x

4=4

Step 3: Subtract 4 from both sides.

4−4=4−4

0=0

4 0
3 years ago
Who walks the faster rate: someone who walks 60 feet in 10 seconds or someone who takes 5 seconds to walk 25 feet?
True [87]
To determine the rate that an individual walks. Take each set values and put in the following formula to solve for the rate.

Rate = number of feet/ seconds

Person 1 = 60 feet / 10 seconds = 6 feet/sec

Person 2 = 25 feet / 5 seconds = 5 feet/second

Person 1 walks at a faster rate than person 2.
3 0
4 years ago
Now consider the product of a nonzero rational number and an irrational number. Again, assume x = , where a and b are integers a
vovangra [49]

Answer:

Irrational number

Step-by-step explanation:

It's given,

y = \frac{mb}{na} (By simplifying the product of rational number 'x' and an irrational number 'y')

Where m and n are the integers and \frac{b}{a} is a rational number.

(Since x = \frac{a}{b} is a rational number)

Therefore, \frac{mb}{na} will be a rational number.

y = \frac{mb}{na} ⇒ Irrational number = Rational number

which is a contradictory statement.

Therefore, multiplication of rational and irrational number will be irrational.

8 0
4 years ago
Jason is watering his garden. He uses 2.75 gallons of water each minute. How much
mamaluj [8]

Answer:

8.25 Gallons

Step-by-step explanation:

2.75 gallons * 3 minutes = 8.25 gallons

6 0
3 years ago
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