Drake will pay $28,490 over 20 years for the premium.
Data and Calculations:
Life insurance policy = $110,000
Insurance term = 20 years
Premium rate = $12.95 per $1,000
Total premium per year = $1,424.50 ($12.95 x $110,000/$1,000)
Total premium for 20 years = $28,490 ($12.95 x $110,000/$1,000 x 20)
Thus, Drake will pay a total premium of $28,490 for 20 years.
Learn more: https://brainly.com/question/3164505
A rectangular prism is 7.1 millimeters long and 10 millimeters high. Its volume is 213.0 cubic millimeters . What is the width of the rectangular prism?
Answer:
5 milimeters
Step-by-step explanation:
Pls help will give 10 pts
Answer:
276 guests
Step-by-step explanation:
Let the number of guests be n. We are to find the value of n.
Then (1/3)n + (5/12)n + 69 = n, or
(9/12)n + 69 = n or (12/12)n
Solving for n, we get (3/12)n = 69, or (1/12)n = 23, or n = 12(23) = 276
There were 276 guests at the wedding.
Check: Does (1/3)(276) + (5/12)(276) + 69 work out to 276? yes
What's ( Round to the indicated place value
1. 6085 to the nearest hundred
2. 51,672 to the nearest ten thousand
3. 321.6396 to the nearest thousand)
Answer:
I'm not going to give the answer yet to see if you can figure it out.
Step-by-step explanation:
1. Find the place that your are rounding to. Ex: 6085
2. Then, look "nextdoor"; the number to the right of the number underlined. Ex: 6085
3. If this number is 1-4, then keep it the same. If it is 5-9, then add one to the digit to the left. Ex: 6085 becomes 6185
4. All of the digits to the right stay the same. Ones to the left become zero. Ex: 6185 becomes 6100.
I hope this helps!
9i⋅(−4−7i) Your answer should be a complex number in the form a+bi where a and b are real numbers.
Answer:
see below
Step-by-step explanation:
here we are using the distributive property and noting that i^2=-1 so the answer is -36i-(63i^2) or -36i+63
Graph the equation.
What is the vertex and p-value of this parabola?
Answer:
vertex: (-7, 5)p = 2Step-by-step explanation:
The vertex is halfway between the focus and the directrix:
((-7, 7) +(-7, 3))/2 = (-14, 10)/2 = (-7, 5) . . . . vertex coordinates
The value of p is the distance from the focus to the vertex:
7 -5 = 2 = p
In vertex form, the equation of the parabola is ...
y = 1/(4p)(x -h)^2 +k . . . . . . vertex (h, k)
y = 1/8(x +7)^2 +5
Please translate each algebraic expression to English phrase
1. x - 8
2. 13 + 2y
3. 4 ( x+ 5)
4. 7x
5. m + 6
Select all the options that have the same value as 3 1/2% of 20
Answer:
0.7, 7/10
Step-by-step explanation:
3.5% of 20 would be 3.5/100x20 = 3.5/5 = 0.7. Also, 0.7 = 7/10.
Suppose the area of a triangle is 36 square inches. The height of the triangle is 12 inches. What is the length of the base of the triangle? PLSSSSSS HELP MEEEEEEEEEEEEEEEEEEEEE
Answer: The base is going to be 6 inches.
Step-by-step explanation:
So to find the area of a triangle we need to know the formula which is A= 1/2bh (A= one half times base times height) So, all we need to do is multiply the area by 2
32*2=72 Then to find the missing length, we divided the area by 12 which is 6.
PLS HELP ILL GIVE BRAINLIEST
Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 30. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Answer:
Kim's age is twice of that of her sister. We'll let k2 = Kim and k = Kim's sister.
So, k2. When you add Kim's age to her sister age you get 36.
Because Kim is twice the age of her sister k2. And because it said 'add' then we put a + sign. k2 + s = 36. Now let's solve it.
k2 + k = 36 < Given
3k = 36 < Combine like terms
k = 12 < Divide both sides by 3
We know Kim's sister is 12 y/o but what about Kim herself? Earlier we assigned Kim to k2. Substitute 12 for k and you get 12(2) = 24
Kim's sister is 12 y/o and Kim is 24 y/o
Step-by-step explanation:
Mark as brainliest please
Kim's age = x
Age of her sister = y
Acoording to conditions, [tex]x=2y[/tex]
The equation is,
[tex]x+y = 30 \\\\\implies 2y + y = 30\\\\\implies 3y = 30 \\\\\implies y = 10\\\\x = 2y = 2(10) = 20\\\\\text{Hence, Kim is 20 years old and her sister is 10 years old.}[/tex]
How to do the 9 multiplication trick.
Answer:
0123456789
9876543210
Step-by-step explanation:
09
18
27
36
45
54
63
72
81
90
Answer:
Step-by-step explanation:
for each 9 you add, take away 1 from the first number and add 10, like
81
72
63
52
41
32
23
18
9
What is the slope of the line?
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
the trick in such a situation is to find good points on the chart that are crossed by the line. and by "good" I mean points with round integer coordinates.
I see 2 such points :
(-3, 4) and (1, -3)
x changes by +4 (from -3 to 1)
y changes by -7 (from 4 to -3)
the slope is therefore -7/+4 = -7/4
Mr. Smith charged Jill $320 for parts and $150 per hour for labor to repair her bicycle. If he spent 3 hours repairing her bike, how much does Jill owe him? Write an expression and show your work and answer.
Answer:A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour.
Step-by-step explanation:
had this question
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best. Please do it quick :D
Answer:
No, it is not a prime factorization, this is the real prime factorization
Step-by-step explanation:
2⁵x 3 x 5⁴ x 11
The first one was not a prime factorization because 8 is not a prime number.
For his car, Benny paid $70.96 on speakers and $83.52 on new tires with
wo $100 bills. How much did Benny get in change?
Answer:
If he pays with 2 Hundred Dollar Bills he will get $45.52 in change.
Explanation:
$70.96 + $83.52 = $154.48
2 Hundred Dollar Bills = $200.00
$200.00 - $154.48
find the area of each of the following polygons. aj 1 cm b) 1 cm c 1 cm 1 cm
Answer:
1 cm
Step-by-step explanation:
You are solving 5 – 8/3
=y/3
. Which equation will you get if you multiply both sides by 3?
Answer:
y=0.76
Step-by-step explanation:
5-8/3 = 3y
(5-8/3) x 3 = 3y x 3
6.9=9y
9y=6.9
y=6.9/9
y=0.76
Jon ate 1/3 of a bag of candies and Monica ate 1/4 of the bag. What fraction of the bag of candies did they eat?
Answer:
13 AND 14
Step-by-step explanation:
THERE IS NO PICTURE OR ANY ANSWERS
what are the values of each variable
Answer:
Step-by-step explanation:
The LEADING COEFFICIENT OR THE LEADING TERM of 3x - 5x^2y^3 + 6xy + 7 is
A)3x
B) - 5x^2y^3
C)5x^2y^3
D) 6xy
NONSENSE=REPORT
The leading term is the term with the highest degree (highest exponent number). Here, the leading term is =》B) - 5x²y³
³ is the highest degree in the given expression.
_____
Hope it helps ⚜
What is the average rate of change of the function f(x)=120(0. 1)x from x = 0 to x = 2? Enter your answer, as a decimal, in the box. Do not round your answer.
The average rate of change of the function is -59.4
The formula for calculating the rate of change of the function is expressed as:
[tex]f'(x)=\frac{f(b)-f(a)}{b-a}[/tex]
Given the function
[tex]f(x)=120(0.1)^x\\f(0) = 120(0.1)^0\\f(0)=120\\[/tex]
Get the value of f(2)
[tex]f(2)=120(0.1)^2\\f(2) = 120(0.1)^2\\f(2)=1.2\\[/tex]
Substitute into the formula to have:
[tex]f'(x)=\frac{1.2-120}{2-0}\\f'(x)=\frac{118.8}{2} \\f'(x)= -59.4[/tex]
Hence the average rate of change of the function is -59.4
Learn more on the rate of change here: https://brainly.com/question/11627203
Find the y-intercept and then write the linear equation for the line passing
through (-12, 5) with m = -2/3,
Answer:
Y-intercept: -3
Equation: y = -2/3x -3
Step-by-step explanation:
Slope intercept equation: y = mx + b, m is the slope and b is the y-intercept
Substitute m with -2/3, your equation should now be y = -2/3x + b
To find the y-intercept, plug in the point (-12,5) and solve for b.
1. 5 = -2/3(-12) + b
2. 5 = 8 + b
3. b = 8 - 5
4. b = 3
The temperature of a substance in an experiment changes by 8.7F from 10 am to 1p.m. At 5p.m., the temperature is 33.5°F. It
is 2/3 of what the temperature was at 1p.m.
What was the temperature at 10 a.m. of the substance?
Enter your answer as a decimal in the box
Answer:
138
Step-by-step explanation:
A countertop is 13 feet long and 2 feet wide.
What is the area of the countertop in square meters? Use the conversion 1 foot = 0.305 meter. Round your final answer to 2 decimal places.
Answer:
A = 2.42 sq. meters
Step-by-step explanation:
13 feet = 13 × 0.305 = 3.965 meter
2 feet = 2 × 0.305 = 0.61 meter
A = lw
A = (3.965) × (0.61)
A = 2.41865 sq. meters
A = 2.42 sq. meters
euler formula find the number of edges of a polyhedron of 6 faces and 4 verticies
Euler's polyhedron formula, V − E + F = 2
[tex] = 4 - E + 6 = 2 \\ = E - 10 = 2 \\ = E = 2 + 10 \\ = E = 12[/tex]A line with a slope of -6 passes through the point (-8, -3). What is its equation in point-
slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.
Answer:
y+3=-6(x+8)
Step-by-step explanation:
Because we already know a point and the slope, we can put our equation in the form y-y1=m(x-x1);
y+3=-6(x+8)
❤️WILL REPORT BOTS❤️
Describe function transformations KT8
What kind of transformation converts the graph of
f(x) = 3x - 9
into the graph
of g(x) =-3x - 9?
Answer:
The answer is reflection on the y-axis
Step-by-step explanation:
Reflection on the x-axis will change the y-intercept
Horizontal shrink will change the slope but not to the point of making the 3 negative
Horizontal stretch is the same concept
Thus Reflection on the y-axis on the y-axisis the answer
Hope this helps!
In a standard deck of 52 playing cards, 13 cards are clubs, and 3 of the clubs are "face" cards (K, Q, J). What is the probability of drawing one card that is:
A) A club or a face card? Is this event a union or an intersection?
B) A club and a face card? Is this event a union or an intersection?
C) Not a club and not a face card?
A) This event is a union. If a card is of the suit of clubs or a face card or both, then it belongs to the set of "cards with clubs or a face".
For the probability in question, we use the inclusion/exclusion principle:
P(club or face) = P(club) + P(face) - P(club and face)
That is, we add the probabilities of drawing a club and of drawing a face card, and subtract the probability of both conditions being met because, in a certain sense, we've double-counted the event of the card being both of clubs and a face. The sets "club" and "face" are not disjoint; there is overlap between them.
Then we have
P(club) = 13/52
P(face) = 12/52
P(club and face) = 3/52
so that
P(club or face) = 13/52 + 12/52 - 3/52 = 22/52 = 11/26
B) This event is an intersection. If a card is of the suit of clubs and a face card, then it belongs to both the set of clubs and the set of face cards.
We already found the probability of the intersection above:
P(club and face) = 3/52
C) If a given card is not a club and not a face card, this is the same as saying the card is neither a club nor a face card. In other words,
P(not club and not face) = P(not(club or face))
and this probability is complementary to the probability that a card is either a club or face, which is to say
P(not(club or face)) = 1 - P(club or face)
Using the result from part (A), we have
P(not club and not face) = 1 - 11/26 = (26 - 11)/26 = 15/26
2. Find the value of x. Give your answer in
simplest radical form.
20
16
Answer:
12
Step-by-step explanation:
The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12
x=12
can anyone help me with this?
Find the missing angle measure.
Answer:
116
Step-by-step explanation:
Given shape has 6 angles and the sum of interior angles for this shape is calculated as following:
180*(6-2) = 720 now to find x we need to find the sum of given angles first:
144 + 163 + 50 + 131 + 126 x = 720
614 + x = 720 subtract 614 from both sides
x = 116