△ABC∼△DEF . Find DF.DF.

Complete question is;

Mr. Kurris is 50 years old. In 4 years, his house will be paid off and his daughter will be finished with college. He wants to take out a 5-year level-term life insurance policy with a face value $750,000. The monthly premium is $61,

a. What will be his total cost for this policy over the 5-year period?

b. If he dies after paying for the policy for 16 months, how much will the insurance company pay his beneficiaries?

c. If he does not die during the 5 years, how much does the insurance company make on this policy?

d. If he dies after paying for the policy for 13 months, how much will the insurance company lose on this policy?

Answer:

A) $3660

B) $750000

C) $3660

D) $749,207

Step-by-step explanation:

A) Since he wants to take out a five-year level-term life insurance policy, then number of payments for 5 years is;

12 months × 5 = 60 payments.

Since monthly premium is $61, then total cost = 61 × 60 = $3660

B) This is a level-term life insurance policy and so he will be paid the same amount over the entire period of the insurance policy.

Thus If he dies after paying for the policy for 16 months, his beneficiaries will still be paid same $750000

C) if he does not die during the 5 years, the amount the insurance company will make is same as the amount he is due for his premium which is $3660.

D) If he dies after paying for the policy for 13 months, amount that the insurance company will lose is;

>> 750000 - 13(61) = $749,207

Answer:

[tex](14 \frac{1}{2} - 10.25) \div 2 \\ = ( \frac{29}{2} - 10.25) \div 2 \\ = 4.25 \div 2 \\ = 2.125 \\ = 2 \frac{1}{8} [/tex]

Answer: one, sorry wrong person

Step-by-step explanation:

Perimeter of the yellow shape:

27m

because

6.3+7.2+2.8+4.9=21.2

then to find the 2 other sides you need to

7.2-4.9=2.3

and

6.3-2.8=3.5

Answer:

14cm, 16 cm, 18 cm

Step-by-step explanation:

Note that

= a:b: c = 7:8:9

We have to find the sum of the proportion

Sum of proportion = 7 + 8 + 9

= 24

Length of side a

7/24 × 48 = 14 cm

Length of side b

8 /24 × 48 = 16cm

Length of side a

9/24 × 48 = 18 cm

What are the lengths of the sides?

The lengths of the sides of the triangle in cm are

14cm, 16 cm, 18 cm

Step-by-step explanation:

x = 7 cos 210 = 7×(-½√3) = -3.5√3

y = 7 sin 210 = 7×(-½) = -3.5

point C (-3.5√3 , -3.5)

Answer:

$8

Step-by-step explanation:

7/7 = 1

56/7 = $8

Answer:

Step-by-step explanation:

As Jaxon holding his hands a distance of 2.5 feet above the ground.

means h1= 2.5 feet

elevation angle from the hand is 33° so ∅=33°

distance of kite from his hand is  150 feet

so from the image we can see , now

as we know that  ,

Sin∅ =h2/150

Sin33°=h2/150

0.55 =h2/150                   (Sin33°= 0.545)

so h2= 81.70 feet

so height from ground is (H)=h1+h2= 2.5+81.70

H=84.20 feet

Answer:

20

Step-by-step explanation:

Answer:     Seven hundred thirteen point forty-nine.

Step-by-step explanation:    Hope this helps ;)

The change she receive = 20-6.43= 13.57$

Answer:

$13.57

Step-by-step explanation:

$20 - $6.43

=13.57

Answer:

B, it's a reflection over the y-axis

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It's B because all your doing is flipping the image over the y-axis

Answer:

7/10

Step-by-step explanation:

1. Simplify - 1 3/2 - 1 4/5

2. Subtract the whole numbers to make it easier - 1-1 = 0

3. Combine fractions - 3/2 - 4/5 = 7/10

4. 0 + 7/10 = 7/10

So, the final answer is 7/10.

Hope this helps! :)

Also you should use Symbolab, it's really helpful

This equation is equal to 7/10 or 0.7

Answer:

(25m^4n^1/12)(m^1n^1/12)

Step-by-step explanation:

Re-order terms to the left.  

(5*5m^4/3 * n^1/4) (m^1/3*2n^1/8)

Combine terms

(5*5m^4n^1/3/4)     2m^1n^1/3/3/8    

Multiply

(25m^4n^1/3/4)       2m^1n^1/3/3/8    

(25m^4n^1/3 * 4)    2m^1n^1/3/3*8    

(25m^4n^1/12).        2m^1n^1/3/24

cancel common terms in both num and denominator

Final - (25m^4n^1/12) (2m^1n^1/12).

Answer:

I think it's C and E am not sure

Answer:

[tex]AB\approx 24.22[/tex]

Step-by-step explanation:

In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse of the triangle.

In this case, in order to form the ratio, we're looking for the angle to the bottom right of the triangle. Notice how this angle is the supplement to the angle marked [tex]130.8^{\circ}[/tex]. Since the two angles form one side of the line, we can solve for this angle.

Let's call the angle [tex]\theta[/tex]:

[tex]130.8+\theta=180,\\\theta=49.2^{\circ}[/tex]

From basic. trig for right triangles (refer to first paragraph in answer):

[tex]\sin 49.2^{\circ}=\frac{AB}{32},\\AB=32\sin 49.2^{\circ}=24.2238417809\approx \boxed{24.22}[/tex]

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

First equation :

Second equation :

Now, the equations are in the form of

where,

[tex] \dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2} [/tex]

therefore the equations would have no solution .

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

in excact terms: 50.26548

to the nearest tenth: 50.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

V = radius^2  x height x π = 4^2 x 1 x π = 16π in^3

16 x 3.14 = 50.26...  = 50.3 in^3

Answer:

C)

Step-by-step explanation:

D) = 0.0055

C) = 0.005

B) = 0.0075

A) = 0.006666667

Answer:

6/7 > 1/2

1/3 < 1/2

Suki rode her bike a longer distance than Clarie

Step-by-step explanation:

Suki's distance = 6/7 miles

Compare with bechmark 1/2

6/7 and 1/2

Make the denominators same

(6*2)/(7*2) and (1*7)/(2*7)

12/14 and 7/14

12/14 is greater than 7/14

12/14 > 7/14

Therefore, 6/7 > 1/2

Clarie distance = 1/3 miles

Compare with bechmark 1/2

1/3 and 1/2

Make the denominators same

(1*2)/(3*2) and (1*3)/(2*3)

2/6 and 3/6

2/6 is less than 3/6

2/6 < 3/6

Therefore,

1/3 < 1/2

Compare Suki's distance with Clarie

compare 6/7 and 1/3

Make the denominators same

(6 * 3)/(7 * 3) and (1 * 7)/(3 * 7)

18/21 and 7/21

18/21 > 7/21

Suki rode her bike a longer distance than Clarie

Answer:

50.33962264

Step-by-step explanation:

brainlest pls

Answer:

the answer is 50.33

Step-by-step explanation:

someone check out my recent question

Answer:

that would be 9 as the least common denominator

Step-by-step explanation:

Answer:

the answer is 17

Step-by-step explanation:

6×3-1

= 17

Answer:

Solution given

4x+2=-13

subtract each term by 2

4x+2-2=-13-2

divide both side by 4

4x/4=-15/4

we get

x=-15/4

is a required answer.

Let's solve:

[tex]4x+2=−13[/tex]

Step 1: Subtract 2 from both sides.

[tex]4x+2−2=−13−2 \\ 4x = - 15[/tex]

Step 2: Divide both sides by 4.

[tex] \frac{4x}{4} = \frac{ - 15}{4} [/tex]

Answer:

[tex] \frac{ - 15}{4} [/tex]

Answer:

its b

Step-by-step explanation:

Answer:

[tex]y=-\frac{1}{3}x+-7[/tex]

Step-by-step explanation:

The graph shows a negative slope with 3 units in between each point.

Every 3 x-units, the y-unit goes up once.

Answer:

you will still pass

Step-by-step explanation:

your grades might drop a little