An investment banker received a bonus and invested that money in two investments. He put a certain sum
of money in the first investment that returned 7% interest after one year. In the second investment he
Invested four times that of the first investment and got a 12% interest return after one year. If the total
interest from his investments after one year was $8,525.00, find the amount invested at each interest rate.

Answer:

The answer would be 78

Step-by-step explanation:

4 x 12 = 48

48 + 30 = 78

Therefore the answer is 78

Answer:

365 yards

Step-by-step explanation:

1085/3=365 yds

Hope this helped!!!

Answer:

135

Step-by-step explanation:

Multiplying the quotient and divisor can give the divended.

So, -9 x -15 = 135

This is same for the other boxes at the top, try multiplying for the other boxes of their quotient and divisor together and you'll get the same number as the divended written on the other boxes.

Answer:

y=-2x-6

Step-by-step explanation:

Slope intercept form of a line: y=mx+b (m is the slope and b is the y-intercept)

Convert our given line 6x+3y=4 into slope-intercept form to find the slope

Subtract 6x on both sides

3y=-6x+4

Divide 3 on both sides

y=-2x+4/3

The slope of the given line is the coefficient of x, -2

Parallel lines have the same slope, so the equation we're solving for also has a slope of -2

We also know that the y-intercept is -6, so we now have all the info we need to make the equation:

y=-2x-6

The width and length of the chicken coop are 5.5 feet and 9.5 feet respectively.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle is given by P = 2L + 2W, where L is the length, W is the width and P is the perimeter.

We know that the width is w feet and the length is w+4 feet.

Given that the perimeter of the chicken coop is 30 feet, we can set up the following equation:

30 = 2(w + 4) + 2w

We can simplify this equation by combining like terms:

30 = 2w + 8 + 2w

30 = 4w + 8

22 = 4w

w = 5.5

So the width of the coop is 5.5 feet.

To find the length of the coop, we can use the information that the width is 5.5 feet and the length is w+4 feet.

The length of the coop is 5.5 + 4 = 9.5 feet

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Answer:

a = 10/1343 = 0.007

b = 500/199 = 2.513

c = 1/3 = 0.333

d+3,567-(0*d)=0

Step-by-step explanation:

Answer:

12 1/2 kg

Step-by-step explanat

The segment BD is secant in the circle. Then the correct answer is option D.

A secant line is a straight line that passes through two points on a circle. The section of the line that connects two separate circle points is known as a chord. A chord is in a unique secant line and every secant line defines a unique chord.

Here we can see in the circle segment BD is passing at two points from the circle. Then BD is the secant of the circle.

Hence, the correct answer is option D.

The complete options are given below:-

A. BO

B. BC

C. AO

D. BD

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Answer:

Option A (BD)

Step-by-step explanation:

i liddly just finished it ang got it right

Answer:

2x^3(3x^3-5x^4+2)

Step-by-step explanation:

Given: 6x^6-10x^7+4x^3

Factor out x^3: x^3(6x^3-10x^4+4)

Factor out 2: 2x^3(3x^3-5x^4+2)

Always look for what you can factor out.

Answer:

14 days

Step-by-step explanation:

you divide the total distance, 35, by the amount of miles ran per day, 2.5, to get 35/2.5=14.

Step-by-step explanation:

hope this help you have a great day!

Answer:

C is the correct answer.

Step-by-step explanation:

All you have to do is divide 72 by three to get it into thirds and 1/3 is 24.

Answer:

D

Step-by-step explanation:

3/5>4/7

find the common denominator

the common denominator is 35

so since you multiply 7 to 5 to get 35 multiply 7 to 3

3/5 = 21/35

since you multiply 5 to 7 to get 35 multiply 5 to 4

4/7 = 20/35

21/35 > 20/35

Answer:

I think it's C nonlinear

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

use desmos calculator helps with these question

Answer:

4/10 or 2/5

Step-by-step explanation:

9/10-1/2 = 9/10-5/10 = 4/10 = 2/5

Answer:

2/5

Step-by-step explanation:

9/10-1/2

9/10-1×5/2×5

9/10-5/10

9-5/10

4/10

2/5

Answer:

13√2 or 18.38478

Step-by-step explanation:

i hope this helps :)

Let us first resolve the given numbers into prime factors.

By prime factorization,

[tex] \longmapsto [/tex] √8 = √( 2 × 2 × 2)

[tex] \longmapsto [/tex] √8 = 2√2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex] \longmapsto [/tex] √98 = √( 2 × 7 × 7)

[tex] \longmapsto [/tex] √98 = 7√2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex] \longmapsto [/tex] √32 = √( 2 × 2 × 2 × 2 × 2)

[tex] \longmapsto [/tex] √32 = 2 × 2√2

[tex] \longmapsto [/tex] √32 = 4√2

According to the question,

[tex] \longmapsto [/tex] √8+√98+√32

[tex] \longmapsto [/tex] 2√2 + 7√2 + 4√2

[tex] \longmapsto [/tex] √2(2 + 7 + 4)

[tex] \longmapsto [/tex] √2(13)

[tex] \longmapsto [/tex] 13√2

So, we get that :

Answer:

4 25/18

Step-by-step explanation:

Answer:

415.48

Step-by-step explanation:

is the area

Answer:

150=(55-c)(5.5-t)

5.5-t=150/(55-c)

-t=(150-302.5+5.5c)/(55-c)

t=(152.5-5.5c)/(55-c)

150=(55+c)t   using t found about

150=(55+c)(152.5-5.5c)/(55-c)

8250-150c=8387.5-302.5c+152.5c-5.5c^2

5.5c^2=137.5

c^2=25

c=5

So the current is 5mph.

Step-by-step explanation:

Answer:

10.89

Step-by-step explanation:

The length of the arc SU in the circle T is 10.88 units.

A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the centre.

Given that, in a circle T, m ∠STU = 78° and ST = 8, we need to find the length of arc SU,

The length of an arc = central angle / 360° × perimeter
= 78° / 360° × 3.14 × 16

= 10.88

Hence, the length of the arc SU in the circle T is 10.88 units.

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Answer:

The answer should be [tex]\frac{87}{50}[/tex]

Step-by-step explanation:

1.74 = [tex]\frac{174}{100}[/tex] = [tex]\frac{87}{50}[/tex]

Answer:

174% = 87/50 = 1 37/50 as a fraction

Step-by-step explanation:

174% = 174/100

Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(174,100) = 2. So,

(174÷2)/(100÷2) = 87/50 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 174/100 is also equal to 1 37/50 when expressed as a mixed number.

Answer:

The surface area is 644 meters squared

Step-by-step explanation:

:)

Answer:

We can get 27 pieces of wire 3.6 cm long and have a piece 7/9 cm left over

Step-by-step explanation:

Find the "unit length" by dividing 1 m by 3.6 cm:

  1 m

-----------

3.6 cm

Recall that 1 m = 100 cm.  Multiply the following by the conversion factor 100 cm / 1 m:

  1 m            100 cm

----------- * ----------------- = 27,7777777...

3.6 cm            1 m

We can get 27 pieces of wire 3.6 cm long and have a piece 7/9 cm left over (verify this by dividing 7 by 9 on a calculator).

Answer:

Pieces can be cut = 1/3.6

Pieces can be cut = 0.27 m

100 cm = 1 m

0.27 m = 27 cm

Therefore,

The length remaining of wire is 27 cm (approximately)

Answer:

Ann has 24 $1 bills, 2 $10 bills, and 8 $20 bills.

Step-by-step explanation:

Given that Ann has $1, $10, and $20 bills, and she has 4 times as many $20 bills as $10 bills and 3 times as many $1 bills as $20 bills, taking a total of $204, to determine the number of $1, $10, and $20 bills she has, she needs to perform the following calculation:

1 = 3x20 = 3x4x10 = 12x10

20 = 4x10

10 = 10

(12 x 1) + (4 x 20) + 10 = 12 + 80 + 10 = 102

(24 x 1) + (8 x 20) + (2 x 10) = 24 + 160 + 20 = 204

So Ann has 24 $1 bills, 2 $10 bills, and 8 $20 bills.

Answer:

60 m squared

Step-by-step explanation:

40+7.5+12.5=60

Answer:

80 dollars and 50 cents.

Step-by-step explanation:

youd first multiply 70 by .15 which would equal 10.5. then add the 70 and 10.5 together. then you get your answer. so the expression youd want to use would be "x=70×.15"

answer:

a function

step-by-step explanation:

hello there!

as you said, there is only able one output ( y ) for each input ( x ) for it able to become a function

here is a little example of a "table" to help me explain this a little better for you!

input ( x ) | output ( y)

      8       |       -3

      3       |       8

      9       |       4

     -2       |       2

since none the inputs have more then one output then that means it is a function

hope this helps you and please let me know if i had made a mistake in the problem, have a wonderful day!! :D

Answer:

Sorry if im wrong..

Step-by-step explanation:

7 = (7 x)/3 + 4 = 21 x + 4 = 7

Answer:

R180

Step-by-step explanation:

Adjusted income = (original pocket money x new ratio) / old ratio

( 6 x $150) / 5 = $180