Answer:
Jenny will earn $ 1,000 in interest each year, while Frank will earn $ 1,000 the first year, $ 1,020 the second, and $ 1,040.40 the third.
Step-by-step explanation:
Since Jenny deposited $ 50,000 into an account that pays simple interest at a rate of 2% per year and Frank deposited $ 50,000 into an account that also pays 2% interest per year but it was compounded annually, to find the interest Jenny and Frank earn during each of the first three years and decide who earns more interest for each year assuming there are no withdrawals and no additional deposits, the following calculation must be performed:
Jenny:
Year 1 = 50,000 x 1.02 = 51,000
Year 2 = 50,000 x 1.02 = 51,000 + 1,000 = 52,000
Year 3 = 50,000 x 1.02 = 51,000 + 2,000 = 53,000
Frank:
Year 1 = 50,000 x 1.02 = 51,000
Year 2 = 51,000 x 1.02 = 52,020
Year 3 = 52,000 x 1.02 = 53,060.40
To test for a disease, technicians mix the blood samples from 8 people then test the mixture. The mixture will test positive for the disease if and only if one or more of the 8 blood samples in the mixture contains the disease. Find the probability that the mixture will test positive given that there is a 52% chance of any particular sample testing positive.
Answer:
Step-by-step explanation:
[tex]1-(0.52^8)\approx 0.99465402714[/tex]
Determine the unknown angle measures in a hexagon whose six angles measure 69°, 108°, 135°, 204°, b°, and 2b°.
Answer:
B = 68
Step-by-step explanation:
(6-2)×180 = 720
69+108+135+204+b+2b=720
516+3b=720
3b=720-516
3b=204
b= 68
How do I find the mean of a given set of numbers?
Answer:
Add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Step-by-step explanation:
:D
My choices are
38
62
102
150
Answer:
B. [tex]x = 62[/tex]
Step-by-step explanation:
In order for m to be parallel to n, those two angles given have to be equal to each other according to the corresponding angles theorem converse.
[tex]3x-36=2x+26\\[/tex]
Same to both sides:
[tex]x = 62[/tex]
Noah works at a concession stand selling bags of popcorn and cans of soda. A bag of popcorn costs $2.50 and a can of soda costs $1.50. One night, he notices that he sold a total of 300 items and collected a total of $522. Determine the system of equations that could be used to solve this problem, where x represents the number of bags of popcorn sold and y represents the number of cans of soda sold
Set up 2 equations:
Total items sold: x + y = 300
This gets rewritten as x = 300-y
The second equation is for total amount made:
2.50x + 1.50y = 522
Replace x in the 2nd equation with the value of x from the first one:
2.50(300-y) + 1.50y = 522
Simplify:
750 - 2.50y + 1.50y = 522
Combine like terms:
750 - y = 522
Subtract 750 from both sides:
-y = -228
Divide both sides by -1 ( to make y positive)
y = 228
Now replace y in the first equation to solve for x:
x+ 228 = 300
Subtract 228 from both sides:
x = 72
He sold 72 bags of popcorn and 228 sodas.
10. Given the function below, what is f(3)?
f(x) = 2x2 - x-5
Answer:
f(3) = 10
Step-by-step explanation:
f(3) = 2(3)^2 - (3) - 5
f(3) = 2(9) - (3) - 5
f(3) = 18 - 3 - 5
f(3) = 10
What is the volume of a prism if the area of its cross-section is 2 m² and its length is 7 m?
Answer:
14m^3
Step-by-step explanation:
Volume of the prism = base area * height
Given
Area of the cross section = 2m^2
Length = 7m
Substitute
Volume of the prism = 2 * 7
Volume of the prism = 14m^3
Hence the volume of the prism is 14m^3
HOLA! HEY!! Can some one please help me with this quiz? I will give you brainlest.
A rectangle with an area of 8 ft² is dilated by a factor of 4.
What is the area of the dilated rectangle?
12 ft²
32 ft²
64 ft²
128 ft²
Answer:
I think the answer it is D
In a large population, 60% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Give your answer as a decimal to 4 places.
Answer:
0.9744 probability that AT LEAST ONE of them has been vaccinated
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have been vaccinated, or they have not. The probability of a person having been vaccinated is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
60% of the people have been vaccinated.
This means that [tex]p = 0.6[/tex]
If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
This is
[tex]P(X \geq 1)[/tex] when [tex]n = 4[/tex].
We have that
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.6)^{0}.(0.4)^{4} = 0.0256[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0256 = 0.9744[/tex]
0.9744 probability that AT LEAST ONE of them has been vaccinated
help please!!!!!!!!will give brainliest
Step-by-step explanation:
The first answer is correct
Answer:
The answer is option A = 5 11/36
Working :
3 8/9 as an improper fraction = 35/9
1 5/12 as an improper fraction =17/12
35/9 + 17/12 = 191/36
=5 11/36
Please mark me brainliest.
If I invest $600 at an 11.5% interest rate, how much money will I earn over 5 years? A. $945 B. $345 C. $69 D. $34.50
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
Answer:
a
Step-by-step explanation:
Each suite has 3 beds and there is a bed side table beside each side of each bed. How many bed side tables are there in all the suites?
Answer:
8
Step-by-step explanation:
3 + 3 + 2
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $7. On Saturday, Rob
earned $84 babysitting. How much money did he save?
If he earned $84, how much money did he save
Answer:
$42
Step-by-step explanation:
7/14=1/2 so he saved 1/2 of 84
Match the expressions given in words with their values when d= 3. Help
Answer:
3
4
0
2
Step-by-step explanation:
3
4
0
2
Use elimination to solve the system of equations.
x – y = 5
x + y = 3
a
(–4, –1)
b
(4, 1)
c
(–4, 1)
d
(4, –1)
Answer:what
Step-by-step explanation:
what
If cos x= sin(20 + x)° and 0° < x < 90°, the value of xis
Answer:
draw a right angle triangle
Step-by-step explanation:
Let one of the angles be A
cos A = sin (90-A)
90 - x - 20 = x
2x = 70
x = 35 degrees
the length of the rectangle is x+2x-3 and the with is 5x+4. what is the perimeter of the rectangle
Answer:
[tex]2(8x - 7)[/tex]
Step-by-step explanation:
( x + 2x - 3)(2) + (5x + 4)(2) = 2x+4x-6+10x-8
= 16x - 14
= 2(8x-7) (when factorised/simplified)
3x x 2 + 5x - 1 fdhyshber
Answer:
11x - 1
Step-by-step explanation:
Just simplify the terms!
3x * 2 + 5x - 1
6x + 5x - 1 (We multiply 3x * 2 to get 6x)
11x - 1 (Then after that, all you have to do is add 6x and 5x together. We can't simplify further since we don't know what x is)
Answer:
How to solve your question
3xx^{2}+5x-1
3xx2+5x−1
Simplify
1
Combine exponents
3 2 + 5 − 1 3 3 + 5 − 1
Solution
3 3 + 5 − 1
Step-by-step explanation:
Which proportion would you use to solve the following problem?
A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 4 cm apart on the map.
ILL MARK BRAINLEST
Answer:
They are 20 km away from each other,
Step-by-step explanation:
1cm=5km so 4cm=20km
Answer:
20km
Step-by-step explanation:
its like 1st grade math?
also im posting so you can give the other dude brainliest
Give the sine, cosine, and tangent ratios for
both angle A and Angle B as a reduced fraction.
Answer:
sin A= 43.60 or 43 3/5 cos A= 43.60 or 43 3/5 tan A= 43 3/5
sin B= 46. 40 or 46 2/5 cos B= 46. 40 or 46 2/5 tanB= 46.40 or 46 2/5
Step-by-step explanation:
Hope this Helped
Factor the expression using the GCF 42-12
Pls help I need a good grade asap
Answer:
8n+12=36, triplets are 8 years old
Step-by-step explanation:
total age is 36
one of them is 12 years old so -> 36-12 = 24
three triplets so 24/3 = 8
there are three 8 years olds and one 12 year old. n = 3
Answer:
Step-by-step explanation:
3n + 12 = 36
3n = 24
n = 8 (the triplets)
another child: 12 years
IN (3)
2
10
6
7
-3
-10 1000
15
OUT (9)
9 25 17
a. Explain in words what is done to the input value (20) to produce the output value (y).
b. Write the rule you described in part (a) with algebraic symbols.
Answer:
(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product
(b) [tex]y =2x +5[/tex]
Step-by-step explanation:
Given
The attached table
Solving (a): The rule of the table in words
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using:
[tex](x_1,y_1) = (2,9)[/tex]
[tex](x_1,y_1) = (10,25)[/tex]
So, we have:
[tex]m = \frac{25 - 9}{10 - 2}[/tex]
[tex]m = \frac{16}{8}[/tex]
[tex]m=2[/tex]
The equation is calculated using:
[tex]y - y_1 =m(x - x_1)[/tex]
Using:
[tex](x_1,y_1) = (6,17)[/tex]
We have:
[tex]y - 17 =2(x - 6)[/tex]
[tex]y - 17 =2x - 12[/tex]
Make y the subject
[tex]y =2x - 12+17[/tex]
[tex]y =2x +5[/tex]
Hence, the rule is:
Multiply the input (x) by 2 and add 5 to the result of the product
(b): The rule, in algebra
As solved in (a), the rule is:
[tex]y =2x +5[/tex]
Consider the line y=5/3x+1.
Find the equation of the line that is perpendicular to this line and passes through the point (-9,5).
Find the equation of the line that is parallel to this line and passes through the point (-9,5).
Equation of perpendicular line:
Equation of parallel line:
Answer:
similar to your question hope it will helpful for you
Step-by-step explanation:
I've done step by step hope it helps
Find the indicated measurement
Answer:
11.2
Step-by-step explanation:
Given that the two triangles share an angle (bottom left), and since the sides opposite this angle are parallel, we can conclude that the triangles are similar.
Put one side length over another and equak to the corresponding side lengths of the other triangle:
28/15=?/6
?=6(28/15)=11.2
Which graph represents the inequality ?
Answer:
if there is a pic i need to to help so since there is no pic i can not help
Step-by-step explanation:
help quick
142 is what percent of 596?
(Write your answer as a percent rounded to the nearest tenth of a percent. Include the % on your answer.)
Answer:
23.8%
Step-by-step explanation:
Step 1: Divide 142 by 596;
The first step is to divide the numerator of this problem by the denominator. The numerator, in this case, is 142 and the denominator is 596. Here is the equation for this operation:
142/596 = 142 ÷ 596 = 0.23825503355705
Step 2: Multiply 0.23825503355705 by 100
The second step is to multiply the result of step 1 by 100. This will turn our original answer into a percentage. This is the final answer to the problem. Here is the equation for:
0.23825503355705 × 100 = 23.83
Step 3: Round 23.83 to the nearest tenth
To round 23.83 to the nearest tenth consider the hundredths’ value of 23.83, which is 3 and less than 5. Therefore, the tenths value of 23.83 remains 8.
23.83 rounded to the nearest tenth = 23.8%
Se all of the expressions that are equivalent to 2k +2+k+3+ 2k.
Answer:
5k+5
Step-by-step explanation:
Combine Like Terms:
=2k+2+k+3+2k
=(2k+k+2k)+(2+3)
=5k+5
$26,088,808.74 +
$34,311,887.98 =
Answer:60,400,696.72
Step-by-step explanation:
it just is...
Write the equation of each line using the given information. Show all work.
1. Passing through the points (4, 5) and (-2, -7). Use fractions, not decimals.
Answer:
y=2x
Step-by-step explanation:
y2-y1/x2-x1
-7-5/-2-4
-12/-6
simplified to = 2
so y=2x