Answer:
a. Simple interest = $174
b. Compund interest = $1187.1
Step-by-step explanation:
Given the following data;
Principal, P = $1000
Interest, R = 2.9%
Time, T = 6 months
a. To find the simple interest;
S.I = (PRT)/100
S.I = (1000*2.9*6)/100
S.I = 17400/100
S.I = $174
b. To find the compound interest;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Substituting into the formula, we have;
[tex] A = 1000(1 + \frac{2.9}{100})^{6}[/tex]
[tex] A = 1000(1 + 0.029)^{6} [/tex]
[tex] A = 1000(1.029)^{6} [/tex]
[tex] A = 1000(1.1871)[/tex]
A = $1187.1
Find the slope!
19.) (-3, 4) and (-4,-2)
Answer:
Slope is 6
Step-by-step explanation:
(-3, 4) and (-4, -2)
m=(y2-y1)/(x2-x1)
m=(-2 - 4)/(-4 + 3)
m= (-6)/(-1)
m = 6
hewo the whole world that i hate^^
Royston plays a video game 7 times. His scores are 60, 65, 66, 74, 69, 72, and 63. Which is the best measure of center of Royston's performance?
median
middle number
mean
mode
Answer:
Mean: 67
Median: 66
Mode: no mode
Range: 14
Step-by-step explanation:
Answer:
mean
Step-by-step explanation:
please help me this is confusing please add an explanation to it
Answer:
2
Step-by-step explanation:
As it would look better.
1 would make the graph too big
12 would be useless as there are no "answers" more than 12
10 would be useless too as the biggest number used is 10. therefore, 5, 7 would be cramped and too hard to figure out.
Spencer is riding his bicycle 2 7/10 miles to the park. He rides 1 1/4 miles and stops to take a drink. How much farther does Spencer have to ride to the park? Show your work.
PLZ HELP MEE!!!
NO LINKS OR WEBSITES!!! YOU WILL GET REPORTED!!!
Answer:
[tex]90 in^{2}[/tex]
Step-by-step explanation:
Base is an equilateral triangle
slant hight= 12 in
side of base= 5 in
so, perimeter of base = 3(5)=15 in
lateral area = 1/2 pl =1/2 (15)(12) in
=90 in²
--------
hope it helps..
have a great day!!
Answer:
Step-by-step explanation:
lateral area = 1.5*12*5 =90
An inspector for a military agency desires a variables sampling plan for use with an AQL of 1.5%, assuming that lots are of size 7,000. If the standard deviation of the lot or process is unknown, derive a sampling plan using Procedure 1 from MIL STD 414.
Answer:
use inspection level 4 ( IV ) to perform a normal inspection or tightened inspection to derive a sampling plan procedure from MIL STD 414
Step-by-step explanation:
Having an AQL of 1.55
assuming lots size of 7000
Std = unknown
To derive a sampling plan
use inspection level 4 ( IV ) where the sample size is denoted as M ( i.e. sample size n = 14) which will reciprocate an acceptable quality level of 1.5%. on a normal inspection the value of K will be = 1.4 but if we employ a tightened inspection the value of K will become 1.54 in value
note that : both the normal and tightened inspection can be performed using the same table
If you place a 37-foot ladder against the top of a building and the bottom of the ladder is 22 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot
Answer:
29.7 ft tall
Step-by-step explanation:
29.75ft. tall is the building.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
Here, we have,
from the figure , we get,
Hypotenuse = 37 ft.
Base= 22 ft.
Let, the building = height = x ft.
Now , by Pythagorean theorem, we have,
x=√37²-22²
=√885
=29.75
Hence, 29.75ft. tall is the building.
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What does b equal in the picture below?
Answer:
87
Step-by-step explanation:
just subtract 16 from 103
Sharon paid $19.50 sales tax on a new camera. If the sales tax rate is 6.5%, what was the total cost of the camera including tax? Round to the nearest cent (hundredths place).
Answer:
i think its 1.2 dollors im not 100 percent sure
Step-by-step explanation:
Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
How many caramel apples are covered with sprinkles?
5
Step-by-step explanation:
add the fractions. you have to find the common denominator, 100/150+30/150+15/150= 145 so 5
1/30 of 150=5
The caramel apples that are covered with sprinkles are 5.
What is arithmetic operation?Arithmetic operation is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.
Now it is given that,
Olivia has 150 caramel apples.
Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
The rest are covered with sprinkles.
Let 'n' be the number of caramel apples are covered with sprinkles.
Thus,we can write
(2/3)*150 + (1/5)*150 + (1/10)*150 + n = 150
100 + 30 + 15 + n = 150
145 + n = 150
⇒ n = 150 - 145
⇒ n = 5
Thus, the caramel apples that are covered with sprinkles are 5.
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The complete question is,
Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
What is the volume?
help thanks ( :
Answer:
54 is the volume
Step-by-step explanation:
Multiply 9 * 2 * 3 = 54
Answer:
54
Step-by-step explanation:
...
Please help with this I'm very confused
Answer: C. 5x+6(-x+4)=13
Step-by-step explanation: When you substitute you just put the equation in not the variables.
Options A and D don't give a solution and B includes the variable y.
Which value is NOT a solution of x^3 + 64 = 0
I need the answers plsss. I will mark brainiest.
Answer:
number 1 is true
Step-by-step explanation:
Answer and explainaction please. End of course test is next week and I want to make sure I can work out answers on my own! :)
Answer: This is what I get.
Step-by-step explanation:
F(6) = 2(6)^2 + 5 sqrt(6-2)
Answe well this look complicated gimme some time
Step-by-step ex
HELP PLEASE !!
a teacher asks five students to write an equation with a solution of x= 4 . the students and their equations are shown below. which of the following students correctly wrote an equation with x= 4 as the solution ? select three that apply .
3. Which reason can be used to conclude that DFGH is a parallelogram?
a) There are two pairs of congruent opposite angles.
D
b) The diagonals bisect each other.
c) There are two pairs of congruent opposite sides.
d) There are two pairs of opposite parallel sides.
Answer:
D) There are two pairs of opposite parallel sides.
Step-by-step explanation:
A parallelogram is a four-sided plane rectilinear figure with opposite sides that are parallel.
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A D 1 Vertical
Step-by-step explanation:
x always represents 1
2 to the 4th power divided by [(3.35 x 0.8) + 5.32]
Answer:
2Step-by-step explanation:
First we need to rewrite this part word problem completely into numbers
2⁴ ÷ [(3.35 × 0.8) + 5.32]
Now we must solve. Remember to do parenthesis first.
3.35 × 0.8 = 2.68
2.68 + 5.32 = 8
Now we need to find the value of 2⁴
2⁴ = 2 × 2 × 2 × 2 = 16
Finally we need to divide 16 by 8
16 ÷ 8 = 2
So our final answer is 2
7. What is the area of a triangle whose base is 14 cm and a height of 12 cm?
Answer:
84 cm²
Step-by-step explanation:
1/2x14x12=84
What is the distance between points A and B? Enter your answer, rounded to the nearest tenth, in the box. units
Answer:
Distance between A and B = 10.4 unit (Approx.)
Step-by-step explanation:
Given:
Coordinate of A = (-5 , 2)
Coordinate of B = (5 , 5)
Find:
Distance between A and B
Computation:
Using distance formula
Distance between two point = √(x1 - x2)² - (y1 - y2)²
Distance between A and B = √(-5 - 5)² - (2 - 5)²
Distance between A and B = √(-10)² - (-3)²
Distance between A and B = √100 + 9
Distance between A and B = √109
Distance between A and B = 10.4403
Distance between A and B = 10.4 unit (Approx.)
Answer:
10.4
Step-by-step explanation:
took the k12 test (:
i need help with this pls
Answer:
Angles B & C both = 157 degrees .
Step-by-step explanation:
Angle A is adjacent to Angle B, which means they are the same size. 23 degrees for A & B.
23+23 = 46.
We have two straight lines, one line = 180. 180*2 = 360.
Take 46 from 360 because we already figured out two angles.
360 - 46 = 314
Divide 314 by 2 because we have two unknown angles...
314 / 2 = 157 .
Angle B & C = 157.
A class has five students. What is the probability that exactly two of the students were born on a weekend?
Answer:
This is binomial.
Here n = 5
p = 2/7
mean = np = 5*2/7 = 10/7 = 1.42857
standard deviation = sqrt(npq) = sqrt(5*2/7*5/7) = 1.01015
Step-by-step explanation:
Work Shown.
The probability that exactly two of the five students of the class were born on weekend is 0.2975
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
n = 5
The probability that any student was born on weekend, P(W) = (2 / 7)
and, the probability that any student was not born on weekend
P(W') = {1 - P(W)}
= {1 - (2 / 7)}
= (5 / 7).
Thus, the probability that exactly two of the five students of the class were born on weekend
= ([tex]^5C_2[/tex]) x {P(W)}² x {P(W')}³
= 10 x {(2 / 7)²} * {(5 / 7)³}
= 10 x (4 / 49) x (125 / 343)
= (5000 / 16807)
≈ 0.2975
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Please help
A vector is drawn on a grid
Answer:
.....
..
...
..
Step-by-step explanation:
I cant see the grid
Please help. I’ll give brainlest!! No links
Answer:
352
Explanation
Answer:
352 square inches
Equation to find the surface area:
A=2(wl+hl+hw)
Steps:
2·(4·12+8·12+8·4)=352
If you have any questions revolving around this topic,feel free to ask me and i will be happy to help,Good luck!
You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Suppose your car's gas efficiency is 23.0 mi/gal. How many liters of gas will you need to complete a 495 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.
L
Answer:
the no of liters required is 50.55 liters
Step-by-step explanation:
Given that
The car gas efficiency is 23.0 mi/gal
distance is 495 km
1 gal = 3.78 L
1 km = 0.6214 mi
We need to find out the no of liters of gas that would needed to complete a trip
So,
= (495 × 3.78 × 0.6214) ÷ (23)
= 50.55 Liters
hence, the no of liters required is 50.55 liters
Find the distance between the pair of points (2,-1) and (-5,-5)?
Answer:
down 4 and over 7 so 11
Step-by-step explanation:
A ball rebounds 70% of its original height. It is dropped from an initial height of 400 cm.
Answer:
280cm
Step-by-step explanation:
Given data
Robound= 70%
Initial height= 400cm
Let us calculate the final height after the rebound
=70/100*400
=0.7*400
=280cm
Hence the new height after the rebound is
280cm
Given that NO ML and ML JK, which postulate or theorem can be used to show that all 3 center triangles in the
Antigua and Barbuda flag are similar?
A. ASA similarity theorem
B. SSS similarity theorem
C. SAS similarity theorem
D. AA similarity postulate
Answer:
A
Step-by-step explanation:
Source:
Trust me bro
The theorem used to prove the three triangles are similar is the ASA similarity theorem. The correct option is A.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and the side included between the angles of the second triangle.
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