Autumn invested $69,000 in an account paying an interest rate of 6 3/8% compounded continuously. Jayden invested $69,000 in an account paying an interest rate of 6 1/4% compounded quarterly. After 14 years, how much more money would Autumn have in her account than Jayden, to the nearest dollar?

Answer:

$1.40

Step-by-step explanation:

Answer:

The price of the book is $7.75.

Step-by-step explanation:

Let's first establish an equation.

If I buy a book costing [tex]x[/tex] dollars and a bookmark costing 1 dollars, I will have spent [tex]x + 1[/tex] dollars. So a group of 15 people doing the same will have spent [tex]15(x+1) = 15x + 15[/tex] dollars.

Analogously, the group of 3 people has spent [tex]3(x+36) = 3x + 108[/tex] dollars.

Since we know that both groups spent the same amount of money, we can set the two expressions equal to each other:

[tex]15x+15=3x+108\\12x=93\\x=7.75[/tex]

Because [tex]x[/tex] was the price of the book, which was asked for in the question, we conclude that the answer is $7.75.

Answer:

A right triangle with degrees 20, 70, 90.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

33.2

Step-by-step explanation:

41.5÷1.25=

33.2

Answer:

31.6 or 31 6/10 or 31 3/5

Step-by-step explanation:

39.5/1.25 = 31.6

Jack gets 31.6 miles per gallon.

.25 = 1/4

.5 = 1/2

Answer:

1 5/32

Step-by-step explanation:

First, find common denominators. What you do to the denominator, you must do to the numerator.

First, multiply 4 to both the numerator and denominator of the second fraction:

(7/8)(4/4) = (7 * 4)/(8 * 4) = 28/32

Next, add across:

9/32 + 28/32 = 37/32

Simplify. Turn the improper fraction into a mixed fraction:

37/32 = (32 + 5)/32 = 1 5/32

1 5/32 is your answer.

~

Answer:

37 /32

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 8 and 32 is 32

For the 1st fraction, since 8 × 4 = 32,

7 /8  =  7 × 4

       8 × 4 =  28 /32

Likewise, for the 2nd fraction, since 32 × 1 = 32,

9 /32  =  9 × 1

          32 × 1 =  9 /32

Add the two fractions:

28 /32 +  9/32 =  28 + 9 /32  =  37 /32

So, 7/8 + 9/32 = 37/32

In mixed form: 1 5 /32

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Answer:

$11.74

Step-by-step explanation:

195.60/100 X 6 = 11.736

monetary unit so round to 2dp

11.74

Answer:

1.46 minutes 38F+26F=64 feet

Step-by-step explanation:

T/F

1/26

1.46/38

2/52

Answer:

x =7

Step-by-step explanation:

To solve this, you must get x by itself.

3x-5 = 16      1.  Add 5 on both sides

3x = 21         2. Divide by 3 on both sides

x = 7

Answer:

the answer is 150

Step-by-step explanation:

162-12=150y

Answer:

(0, 150)

Step-by-step explanation:

Answer:

11.2

Step-by-step explanation:

The answer is 11.2

11.2*.25=2.8

11.2-2.8=8.4

Hope this helps <3

Answer:

The triangle is isosceles and not right  

Hope this helps.

Answer:

A or B

Step-by-step explanation:

That looks like an isosceles triangle. I'm not sure what they mean by right or not. I'd say the first or second option.

Answer:

The answer is r[tex]z^{2r}[/tex]

Step-by-step explanation:

Answer: 67.5G + 22.5

Step-by-step explanation:

Answer:

Math

Step-by-step explanation:

12

Answer:

0.875

Step-by-step explanation:

7/8

0.875

Answer:

Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.

Step-by-step explanation:

Let [tex]x[/tex] denote the number of rafts seating 3 people and [tex]y[/tex] the number of rafts seating 5 people. The total number of rafts is 13, so [tex]x+y=13[/tex]. We can also assume that every raft is filled to the brim (it isn't stated explicitly though, but it's probably the intention of the question maker), so [tex]3x+5y=53[/tex].

It's always a good idea to put these equations under each other:

[tex]\left \{ {{x+y = 13} \atop {3x+5y=53}} \right.[/tex]

We can subtract the first equation three times from the second one to obtain [tex](3x+5y)-3(x+y) = 53 - 3(13)\\3x-3x + 5y - 3y = 53 - 39\\2y = 14\\y=\frac{14}{2} = 7[/tex]

Now, substitute this found value for [tex]y[/tex] into [tex]x+y = 13[/tex] and we see that [tex]x=6[/tex]. We are now done: Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.

Answer:

        2

   15x  -2x-8    

Step-by-step explanation:

the two means squared btw

Answer:

The number one

Step-by-step explanation:

(3x+2)(5x−4)

=(3x+2)(5x+−4)

=(3x)(5x)+(3x)(−4)+(2)(5x)+(2)(−4)

=15x2−12x+10x−8

=15x2−2x−8

Hi there!

For 2.9 months to reach 4.9 month, simply subtract both terms to find the result of months left to get to 4.9 months.

[tex]4.9-2.9=4-9+9-9=2.0[/tex]

Final Result: 2.0

Answer:

True

Step-by-step explanation:

opposite is irrational number

Answer:

Step-by-step explanation:

at 9:00AM starts snowing, 84/6=14

9:00 AM..........................0 inches

10:00AM..........................6inches

11:00AM...........................12 inches

12:00PM...........................18 inches

.......................................................

11:00PM..............................84 inches

Answer:

#19:the rule is every-time use the number and times it by 80%

#20:using a calculator, i got 16. i think it is wrong, but that is what i got.

Answer:

2

Step-by-step explanation:

Simplify the following:

(-6 - 4)/(-5)

Hint: | Group the negative terms in -6 - 4 together and factor out the minus sign.

-6 - 4 = -(6 + 4):

(-(6 + 4))/(-5)

Hint: | Evaluate 6 + 4.

6 + 4 = 10:

(-10)/(-5)

Hint: | In (-10)/(-5), the numbers 10 in the numerator and -5 in the denominator have gcd greater than one.

The gcd of 10 and -5 is 5, so (-10)/(-5) = (-(5×2))/(5 (-1)) = 5/5×(-2)/(-1) = (-2)/(-1):

(-2)/(-1)

Hint: | Cancel common terms in the numerator and denominator of (-2)/(-1).

(-2)/(-1) = (-1)/(-1)×2 = 2:

Answer: 2

The equivalent value of the fraction is A = 2

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the numerator of the fraction be p

Let the denominator of the fraction be p

Now , A = p/q

when the value of p = ( -6 - 4 )

And , when the value of q = ( -5 )

On simplifying the equation , we get

A = ( -6 - 4 ) / ( -5 )

So , the left hand side of the equation is equated to the right hand side by the value of ( -6 - 4 ) / ( -5 )

A = ( -6 - 4 ) / ( -5 )

A = ( -10 ) / ( -5 )

On simplifying , we get

Divide by -1 on both numerator and the denominator , we get

A = 10/5

A = 2

Therefore , the value of A = 2

Hence , the fraction is A = 2

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Answer:

32

Step-by-step explanation:

it says he already had 32 and earns 10 per week so initial is 32 and increment is 10/week

Answer:

a

the first answer

Step-by-step explanation:

Answer:

1/3 x 1/6 = 1/18

1/6 divided by 3 = 1/6 x 1/3 = 1/18

Same answer for both.

Answer:

32

Step-by-step explanation:

25% is the same as 1/4

8 times 4 is 32 so 8 is 25% of 32

Answer:

25% would be 8

50% would be 16

75% would be 24

100% would be 32

Answer:

I believe it's A

Step-by-step explanation:

Answer:

its y=x

Step-by-step explanation: