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garri49 [273]
3 years ago
14

Correct answers only please!

Mathematics
2 answers:
blagie [28]3 years ago
6 0

Answer: $86.25

Step-by-step explanation:

For this problem, we are given p, r, t.

p=70 (starting amount)

r=0.11 (11%)

t=2 (years)

We can plug this into the equation B=p(1+r)^t

B=70(1+0.11)^2

B=86.247

Sam would have $86.25

dezoksy [38]3 years ago
3 0

Answer:

$86.25

Step-by-step explanation:

B = p(1 + r)t must be written as B = p(1 + r)^t.  The "^t" denotes exponentiation.

Then, with B = p(1 + r)^t, we need to insert $70 for p, 0.11 for r and 2 for t:

B = $70(1 + 0.11)^2  =  $86.25

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Alona [7]
Step 1: multiple the second equation by 2 so that you get -1/4 for the coefficient of y, the same as in equation 1
equation 2 multiply by 2: 1/4 x - 1/4 y=38  ..........name this equation 3
subtract equation 1 from equation 3: (1/4 x -1/2 x)=38-10
-1/4 x = 28
x=-112
plug in x=-112 in any of the equation, you will get y=-264
so the answer is A
8 0
3 years ago
Because Bernard has some health issues, he must pay 15% more for life insurance. About how much more annually will a $115,000 10
olga2289 [7]

From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.

  • The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is option d. <u>$24</u>

Reasons:

The data in the table are presented as follows;

\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right]

From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40

Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more = 1.15 × $161 = $185.15

Therefore;

The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ <u>$24</u>

Learn more about insurance premiums here:

brainly.com/question/3053945

8 0
2 years ago
Read 2 more answers
Which equation uses the Pythagorean Theorem to determine whether the side lengths 12, 24, and 26 form a right triangle?
vlada-n [284]

Answer:

C

Step-by-step explanation:

12²+24²=144+576=720≠26²(676)

3 0
3 years ago
CHALLENGE Sage wants to buy board games for some of her friends. Board games
lukranit [14]

Answer:

2

Step-by-step explanation:

6 plus 7 equals 13

9 plus 9 equals18

18 subtract 6 equals 13

13 subtract 12 equals 1

4 0
3 years ago
From a height of 50 meters above sea level on a cliff, two ships are sighted due west. The angles of depression are 61° and 28°.
Olenka [21]

Answer:

The ships are 66 meters apart.

Step-by-step explanation:

For the sake of convenience, let us label ships A and B

As shown in the figure, the distances to the ships from right triangles.

The distance to the ship A is d_1 and it is given by

tan (61^o)= \dfrac{50}{d_1}

d_1=\dfrac{50}{tan (61^o)}

\boxed{d_1= 27.71m}

And the distance to the ship B is d_2 and is given by

tan (28^o)= \dfrac{50}{d_2}

d_2=\dfrac{50}{tan (28^o)}

\boxed{ d_2=94.04m}

Therefore, the distance d between the ships A and B is

d= d_2-d_1=94.04-27.7\\\\\boxed{d=66m}

In other words, the ships are 66 meters apart.

8 0
3 years ago
Read 2 more answers
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