Patrick is a loan officer at a bank. He has
$2,000,000 to lend out and has two loan programs.
His home equity loan is currently priced at 6% per
annum, and his unsecured personal loan is priced
at 14%. The bank president wants Patrick to earn
a rate of return of 12% on the $2,000,000 available.
How much should Patrick lend out at 6%?

Answer:

A = 56 m^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 12 (14)(8)

A = 56 m^2

Answer:

x=8

Step-by-step explanation:

3.2x=25.6

Divide each side by 3.2

3.2x/3.2=25.6/3.2

x =8

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

[tex]3.2x = 25.6 \\ \frac{3.2x}{3.2} = \frac{25.6}{3.2} \\ x = 8[/tex]

Answer:

The answer is B.

Step-by-step explanation:

All parallelograms that have congruent diagonals are rectangles.

Answer:

It's geometric sequence where a_1=12, q=-\dfrac{1}{2}a

1

=12,q=−

2

1

So a_n=12\cdot\left(-\dfrac{1}{2}\right)^{n-1}a

n

=12⋅(−

2

1

)

n−1

Answer:

[tex]a_{n}[/tex] = 12 [tex](-\frac{1}{2}) ^{n-1}[/tex]

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-6}{12}[/tex] = - [tex]\frac{1}{2}[/tex] , then

[tex]a_{n}[/tex] = 12 [tex](-\frac{1}{2}) ^{n-1}[/tex] ← explicit formula

Answer:

NO. OF RED =8

NO. OF BLUE=4

NO. OF GREEN=7

THEREFORE,TOTAL MARBLES=19

THEREFORE,PROBABILTY OF RED MARBLES=8/19.

Answer:

4 tickets left

Step-by-step explanation:

Dividing 276 by 8 gives you a remainder of 4.

Answer:

m<RST = 32°

m<TSQ = 58°

Step-by-step explanation:

m<RST here, meaning the angle of the whole diagram is 90 degrees as you can see.

m<RSQ + m<TSQ = m<RST

15x — 43 + 8x + 18 = 90

23x — 25 = 90

       +25     +25

---------------------------

23x = 115

/23      /23

----------------------------

x = 5

Now, plug this into the equation for m<RSQ and m<TSQ to find their values.

m<RSQ = 15x — 43

= 15x - 43

= 15(5) - 43

= 75 - 43

= 32

m<TSQ = 8x + 18

= 8x + 18

= 8(5) + 18

= 40 + 18

= 58

Now, check to see if our values are right or not.

15x — 43 + 8x + 18 = 90

15(5) — 43 + 8(5) + 18 = 90

75 - 43 + 40 + 18 = 90

32 + 40 + 18 = 90

90 = 90 CORRECT

Answer:

[tex] \frac{20}{9} [/tex]

Step-by-step explanation:

[tex] \frac{2}{3} \div \frac{3}{10} [/tex]

➡️ [tex] \frac{2}{3} \times \frac{10}{3} [/tex]

➡️ [tex] = \frac{20}{9} [/tex] ✅

Answer:

A . sphere B. Square

Step-by-step explanation:

........

Answer:

Width= 4

length= 12

perimeter= (16+4)×2

3x+3x+x+x=32, let x be the dimensions

8x=32

x=4

so 3(4)=12

Answer: m∠ABF = 120°

Concept:

Here, we need to know the idea of the corresponding angle theorem and linear pair postulate.

The corresponding angle theorem states that if a transversal cuts two parallel lines, their corresponding angles are congruent.

The linear pair postulate states that two angles that form a linear pair are supplementary.

Solve:

Given information

m∠ABF = m∠ABF = 2x + 3x

m∠BCH = 3x

Total angle = 180°

Given equation

m∠ABF + m∠BCH = Total Angle

Substitute values into the equation

2x + 4x + 3x = 180

Combine like terms

9x = 180

Divide 9 on both sides

9x / 9 = 180 / 9

x = 20

m∠ABF = 2x + 4x = 2 (20) + 4 (20) = 40 + 80 = 120°

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(-3,-8)

Step-by-step explanation:

MN:Np=3:4   Let m:n=3:4

Use the formula

xN=(xM*n+xP*m)/(m+n)

yN=(yM*n+yP*m)/ (m+n)

xN= ((-12)*4+9*3)/ (4+3)=-3.

yN=((-5)*4+(-12)*3)/(4+3)=-8.

Answer:

Bro it is simple the answer is 23415

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Hey there!

The formula for feet to inches is to simply multiply the length value by 12.

So, multiply 140 by 12.

I believe your answer would be 1680 inches.

Hope this helps!

Have a great day!

Answer:

140 feet is 1680 inches. Don't forget to put your units in; your teacher may dock off points for forgetting to put in the unit.

Step-by-step explanation:

A foot is 12 inches, so you must multiply 140 by 12.

[tex]140\times12=1680[/tex]

Answer:

It is 3 : 27

Step-by-step explanation:

Ratio of blue to yellow = 3:24

[tex]{ \sf{total \: ratio = 24 + 3 = 27}}[/tex]

ratio of blue to all triangles:

[tex] = 3 : 27[/tex]

Answer:

4x² + 4x - 2

Step-by-step explanation:

The opposite is the negative value

The opposite of - 4x² - 4x + 2 is

- (- 4x² - 4x + 2) ← distribute parenthesis by - 1

= 4x² + 4x - 2

Answer:

y = 3x - 25

Step-by-step explanation:

If the line is parallel, it will have the same slope. So, the line will also have a slope of 3.

Plug in the slope and given point into y = mx + b, and solve for b:

y = mx + b

2 = 3(9) + b

2 = 27 + b

-25 = b

Plug in the slope and y intercept into y = mx + b:

y = mx + b

y = 3x - 25

So, the equation of the line is y = 3x - 25

Answer:

z-score=7.5-6        1.5

___________=______=0.5

3                                   3

Step-by-step explanation:

Look up -0.1 on a z-table. The result is 0.4602. The means there is a 0.4602 probability the random variable will be below 5.7.

The find the probability the random variable will be between 7.5 and 5.7, simply subtract the two probabilities we found (above) from one another:

0.6915+-+0.4602+=+0.2313

So, there is a 0.2313 probability the random variable will fall between 7.5+and 5.7.

The relationship between the heights of the fence, the lengths, the distance below the ground level is an illustration of addition and subtraction.

Plan A

[tex]Length = 4\frac 14[/tex]

[tex]Ground\ Level = \frac 78[/tex]

Plan B

[tex]Length = 6\frac 34[/tex]

[tex]Ground\ Level = 1\frac 12[/tex]

The height of the fence is calculated by subtracting the length below ground level from the length of the fence. So, we have:

[tex]Plan\ A = 4\frac 14 - \frac 78[/tex]                                   [tex]Plan\ B = 6\frac 34 - 1\frac 12[/tex]

[tex]Plan\ A = \frac{17}{4} - \frac 78[/tex]                                   [tex]Plan\ B = \frac{25}{4} - \frac 32[/tex]

                                         Take LCM

[tex]Plan\ A = \frac{17\times 2 - 7}{8}[/tex]                                   [tex]Plan\ B = \frac{25 - 3\times 2}{4}[/tex]

[tex]Plan\ A = \frac{34 - 7}{8}[/tex]                                       [tex]Plan\ B = \frac{25-6}{4}[/tex]

[tex]Plan\ A = \frac{27}{8}[/tex]                                           [tex]Plan\ B = \frac{19}{4}[/tex]

[tex]Plan\ A = 3\frac{3}{8}[/tex]                                           [tex]Plan\ B = 4\frac{3}{4}[/tex]

Hence, the height of fence is [tex]3\frac 38[/tex] in plan A  and [tex]4\frac 34[/tex] in plan B

The fence in plan B is taller because [tex]4\frac 34[/tex] is greater than [tex]3\frac 38[/tex]

The difference (d) in the heights is:

[tex]d = 4\frac 34 - 3\frac 38[/tex]

[tex]d = \frac{19}{4} - \frac{27}{8}[/tex]

Take LCM

[tex]d = \frac{19 \times 2 - 27}{4}[/tex]

[tex]d = \frac{38 - 27}{4}[/tex]

[tex]d = \frac{11}{4}[/tex]

[tex]d = 2\frac{3}{4}[/tex]

Fence in plan B is taller by [tex]2\frac{3}{4}[/tex] feet.

I will recommend the fence in plan B because:

For (5), we have:

[tex]Total = \$356.88[/tex]

[tex]Cash = \$220[/tex]

The remainder is the difference in the total amount and the amount they paid:

[tex]Charge = Total - Cash[/tex]

[tex]Charge = \$356.88 - \$220[/tex]

[tex]Charge = \$136.88[/tex]

Hence, they charge $136.88

Read more about addition and subtraction at:

https://brainly.com/question/12361020

Answer:

No they aren't equivalent.

Step-by-step explanation:

x^3x^3x^3=x^3^3^3

[tex](x)^{3x^{3x^3[/tex]=[tex]x^{3^{3^3[/tex]

[tex]x^{3x^{9x}[/tex]=[tex]x^{3^{9}[/tex]

[tex]x^{27x^{2} }[/tex]=[tex]x^{27}[/tex]

Apply log on both sides

27[tex]x^{2}[/tex]logx=27logx

27[tex]x^{2}[/tex]logx/27logx=1

[tex]x^{2}[/tex]=1

This is true if x=1 , -1.

The values are equivalent if x=1 and -1 , otherwise no they aren't equivalent.

Answer:175 degrees

Step-by-step explanation: The shape isn't properly drawn.But,I assumed it is a five sided polygon because of the fifth ange

Answer:

f(-2) = 35

Step-by-step explanation:

Let x = -2.

[tex]3(-2)^2-8(-2)+7\\\\12+16+7\\\\35[/tex]

Answer:

b. Add 4, 2, 6, 10

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Order of operations lists Multiplication before Addition.

So...

8 x 5 = 40

40 + 15 = 55

Answer:

55

Step-by-step explanation:

you have to do 5x8 first and you get 40 and then you add 15

Answer:

10-(3×4)-2+1=5

10-12-3=5

10-15=5

10=5+15

10=20

20-10

10

Answer:

[10 - 3 × (4-2)] +1= 5

.......

Answer:

x < -5

Step-by-step explanation:

-2(5x+1) >48

-10x-2 > 48

-10x-2+2 > 48+2

-10x > 50

p.s : when dividing by a negative number with inequalities, change the sign, i.e. < would then be >....

therefore:

x < -5

Answer: 13. is c, 14. is yes and 15 is no

Step-by-step explanation: Try your best and you might succeed

Answer:

3 cups of sugar should be used if 5 cups of floue is included

Answer:

$4

Step-by-step explanation:

We can write a ratio to solve

15 stickers       30 stickers

----------------- = -------------

2 dollars           x stickers

Using cross products

15x = 2*30

15x = 60

Divide by 15

15x/15 = 60/15

x = 4