Answer:
Vertex form is: y = ( x + 1 )^2 − 2
Step-by-step explanation:
I'm not sure about the substitution part.
The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?
Answer:
just interest = 251,550. Plus loan = 446,550
Step-by-step explanation:
195,000 x 0.043(interest as a decimal) = 8385 per year.
8385 x 30(years) = 251,550
The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.
What is compound interest?Compound interest is applicable when there will be a change in principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
Given that
the principle amount of $195000
The rate of interest is 4.3%
Time period 30 years.
By compound interest formula
A = P × [tex](1 + 0.00r)^{n}[/tex]
where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.
A = $195000[tex](1 + 0.043)^{30}[/tex]
A = $689546.985
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A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% 40 % of this population prefers the color green. If 12 12 buyers are randomly selected, what is the probability that between 5 5 and 9 9 (both inclusive) buyers would prefer green? Round your answer to four decimal places.
Answer: 60% would like another color
Step-by-step explanation:
what is the solution to the inequality of x+2<5
Answer:
Any number below 3
(2, negative infinity)
Answer:
here's the answer with steps
x + 2 < 5
-2 -2
x < 3
Find the slope of the line
Answer:
-5/4 is the slope of the line.
Laney bought some candy from the bulk food store. She bought a 290 gram bag of gummy worms, a 450 gram bag of sour keys, and 670 gram bag of chocolate covered almonds. What is the total weight in kilograms?
Answer:
1.41 kilograms
Step-by-step explanation:
Given data
290-gram bag of gummy worms
450-gram bag of sour keys
670-gram bag of chocolate-covered almonds
In all, she bought
=290+450+670
=1410grams of candy
Now let us convert from grams to kilograms
1000grams is equal to 1 kilogram
hence 1410 grams will be x
cross multiply
1000x= 1410
x= 1410/1000
x= 1.41 kilograms
Calculate the mean, median, and range of the data in the dot plot.
Answer:
median = 5
range = 2
mean = 11
Step-by-step explanation:
At a certain time of day, the angle of elevation is 40°. To the nearest foot, find the height of a tree whose shadow is 31 feet long.
Answer: Height of tree = 26 ft
Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.
Base = AC = 31
Perpendicular = CB = ?
Hypotenuse = AB
Using trigonometric equation
tan 40 (deg) = CB / AC
CB = Tan 40 x AC
CB = 0.83909 x 31
CB = 26.011
Thus the height of the tree = 26 ft
a cone and a cylinder have equal radii,r, and equal altitudes, h. If the slant height is l, then what is the ratio of the lateral area of the cone to the cylinder?
The ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.
What are a cone and a cylinder?The solid formed by two congruent closed curves in parallel planes along with the surface created by line segments connecting the corresponding points of the two curves is known as a cylinder.
A cylinder with a circular base is known as a circular cylinder. Based on the form of its base, a cone is given a name.
It is given that a cone and a cylinder have equal radii,r, and equal altitudes, h. The ratio of the lateral surface area of the cone to the cylinder will be calculated as below:-
The lateral area of the cone = πr√(h²+r²)
The lateral area of the cylinder = 2πrh
The ratio will be calculated as:-
R = πr√(h²+r²) / 2πrh
R = √(h²+r²) / 2h
Therefore, the ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.
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A triangle has lengths of 3 cm, 5 cm, and 9 cm, can it form 1 or more triangles?
Answer:Yes
Step-by-step explanation:
Can someone please help me no links please
Answer:
x=6
Step-by-step explanation:
3x- 4=14
+4 +4
3x=18
x=6
please help!!!!! simplify
Answer:
Pretty sure it's B
Step-by-step explanation:
slope of (9,3) (19,-17) using slope formula
At a birthday party pizzas and sodas were purchased for the kids. The number of sodas bought was two more than three times the number of pizzas. Pizzas cost $9.50 each and sodas cost $1.25 each. (ANSWER A AND B PLEASEEEEEEE I REALLY NEED HELP!!!!)
A). If 8 pizzas were bought, how many sodas were bought?
B). How much was the total money would be spent on the pizza and sodas from (A)?
THANK YOU SOOOOO MUCH!!!! :))))))
Answer:
61
Step-by-step explanation:
Givens
Let the pizzas = x
Let the sodas = y
Equation
y = 3x + 2
Part A
y = 3*8 + 2
y = 24 + 2
y = 26
Part B
Sodas = 26* 1.25 = 32.50
Pizzas =9.50 * 3 = 28.50
Total for both = 32.50 + 28.50 = 61
at traget a 5 pack of gaterade cost 8.78 how much would 21 packs of gatorade cost
Answer:
21 packs of gatorade would cost $36.88.
Step-by-step explanation:
Mathematically:
8.78 / 5 = 1.756
1.756 * 21 = 36.876 ~= $36.88
ht
Which of the following is an equivalent expression to the expressione,
А
B
D
ANSWER QUICK PLZ
Find the range, median, first and third quartiles, and interquartile range for each data set OF THE NUMBERS 52 72 96 21 58 40 75
Answer:
Range: 75 Median: 58 1Q: 40 3Q: 75 Interquartile: 35
Please someone help it confusing
1.false2.false3.true4.true5.true
will give brainiest + 40 points
Which graph represents the function p(x) = |x – 1|?
Answer:
I think it's the second I e at the top
Find the value of x. Also with explanation please
Answer:
x+90°+130°=360°
x+220°=360°
x=360°-220°
x=140°
I need help with this math promblem will anybody help me
Answer:
d = 83
Step-by-step explanation:
Answer:
d=83°
Step-by-step explanation:
the sum of the inner angles is equal to 360°
so
127+67+d+d=360
194+2d=360
2d=166
d=83°
y = -9x Proportional or Non Proportional
8 ft
Find the area of the figure.
Answer:
Area of a rectangle is length multiplied by the width. In this case, length is equal to width. So, Area is 8 ft * 8 ft which is 64 ft2.
A rectangular prism with a length of 5 inches a width of 4 inches and a height of 3 inches is how many square inches
Answer:
20
Step-by-step explanation:
length x width = area
4 x 5 = 20
(not 100% sure, but I hope this helps)
Which of the following describes the dimensions of a backyard?
The area of the yard.
The perimeter of the yard.
The volume of the yard.
The lengths of the sides of the yard.
Answer:
the lengths of the sides of the yard.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
this reason is because the sides tell how big your backyard is
plssss help
answer it plssssssssss
Can you help me please thank you
ATHEMATICS CURRICULUM
Lesson 3 Homework
time Zachary starts playing with his action figures.
the start playing with his action figures?
Start
1
12
11
1
31
10
on figures for 23 minutes.
Ish playing?
Finish
Answer:
guru gossip and you can you invite me to the heading
On day 1 Vampire
Olly slept 5 hours. On
day 2 he slept 7 hours.
By what percent did he
increase his sleeping?
Answer:
40%Step-by-step explanation:
Initial number of hours = 5Increased number of hours = 7Change:
7 - 5 = 2Percent change:
2/5*100% = 40%Plz help Major grade 6th grade
Answer:
A. 300h = 900
Step-by-step explanation:
V = lwh
900 = (25)(12)h
900 = 300h
300h = 900
Convert 42 to a base two
numeral