California pumps about 1.74 × 10^10 gallons of groundwater each day. Texas pumps about 7.25 × 10^9 gallons of groundwater per day. About how many times greater is the amount of groundwater that California pumps per day than Texas?
The amount of groundwater that California pumps per day are 2.4 times more than in Texas.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
California pumps about 1.74 × 10¹⁰ gallons of groundwater each day.
Texas pumps about 7.25 × 10⁹ gallons of groundwater per day.
Then the ratio of the amount of water between California and Texas will be
[tex]\rm \dfrac{California}{Texas} = \dfrac{1.74 \times 10^{10}}{7.25 \times 10^9}\\\\\\California \ = 2.4 \times Texas[/tex]
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The following table shows the first segment of a five-year amortization schedule.
5 Year Amortization Schedule
$ 12.575.00
Loan Amount or Principal
Interest Rate on Loan
9.45%
Extra Payment to Principal
S
Month
Payment
Principal
Interest
99.03
Balance
$12,410.24
15
263.79 S
164.76 S
25
263.79 S
166.06 $
97.73 $ 12.244.18
3 S
263.79 $
167.37 S
96.42 $ 12,076.81
4 S
263.79$
168.69 $
95.10 $ 11,908.12
SS
263.79 S
170.01 $
93.78 $11.738.11
6S
263.79 S
171.35 S
92.44 $11,566.75
7 S
263.79 S
172.70 S
91.09 $ 11,394.05
89.73 $ 11,219.99
8 S
263.79 S
174.06 S
9 $
263.79 S
175.43 $
88.36 $11,044.55
10 S
263.79 S
176.82 $
86.98 $ 10,867.74
11 S
263.79 $
178.21 $
85.58 $ 10.689 53
12 S
263.79 S
179.61 S
84.18 $ 10,509.92
13 S
263.79 S
181.03 $
82.77 $10,328.89
14 S
263.79 S
182.45 $
81.34 $10,146.44
15 S 263.79 S
183.89 $ 79.90 $9.962.55
After one year of payments, how much has been paid to interest?
a
$1,100.42
b.
$1,010.16
c.
$1,188.34
d. $1,241.18
After one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.
What is a loan amortization schedule?It is defined as the systematic way of representation of loan payments according to the time in which the principal amount and interest mentioned in a list manner.
We have a table given that showing a first segment of a five-year amortization schedule that has a 5-year amortization schedule and the amount of interest paid for months 1 through 12.
As the loan amount is not mentioned in the question, we are assuming the loan amount is $1184.6
Therefore, loan amount = $1184.6
The outstanding amount at the end of one year, which is 12 months, is shown in the table as $84.18
After one year of payments, the amount need to be paid to interest:
= Loan amount - Outstanding amount after 12 months
= 1184.6 - 84.18
= $1100.425
Thus, after one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.
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How many inches equal 2 and 1 ninth yards?
Answer:
2 1/9 yards will equal to 76 inches.
1 ward =3ft
19/9×319/3ftNow
1ft=12in
19/3(12)19(4)76inuse the distributive property to wrtie an expression that is equivalent to 8(a+4)
Can you please help me
Answer:
(30,3)
Step-by-step explanation:
The coordinate of the fourth point is (30,3)
I hope ot helped you
An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume) and apply a formula to convert to a body fat percentage. Formula: BF = (4.57/p - 4.142) x 100 where BF = body fat and p = density in g/cm3 A man weighs 175 pounds. His total body volume is modeled by a cylinder with a height of 170 cm and a radius of 12 cm. Find his body fat percentage, based upon the given formula (to the nearest percent).
If the density of the man is 1.0321 grams per cubic cm. Then the body fat percentage will be 28.59%.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume) and apply a formula to convert it to a body fat percentage.
[tex]\rm BF = \left (\dfrac{4.57}{p} - 4.142 \right) \times 100[/tex]
where BF = body fat and p = density in g/cm3 A man weighs 175 pounds.
A man weighs 175 pounds.
His total body volume is modeled by a cylinder with a height of 170 cm and a radius of 12 cm.
Then the density will be
[tex]\rm p = \dfrac{175 \times 453.592}{\pi \times 12^2 \times 170}\\\\p = \dfrac{79378.7}{76906.19}\\\\p= 1.0321 \ g/cm^3[/tex]
Then the Body fat percentage will be
[tex]\rm BF = \left (\dfrac{4.57}{1.0321} - 4.142 \right) \times 100 \\\\\\BF = 0.2859 \times 100\\\\\\BF = 28.59\%[/tex]
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One-sixth of the fourth graders and one-third of the fifth graders miss school on Friday. The absentee sheet for Friday shows the names of 8 fourth graders and 14 fifth graders. How many fourth and fifth graders are enrolled in the school?
The number of fourth graders enrolled in the school is 48.
The number of fifth graders enrolled in the school is 42.
What is division?Division is the process of determining the quotient of a number by grouping a number into equal groups using another number.
How many fourth and fifth graders are enrolled in the school?Number of fourth graders = 8 ÷ 1/6
8 x 6 = 48
Number of fifth graders = 14 ÷ 1/3
14 x 3 = 42
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Find the surface area of the triangular prism the base of the prism is an isosceles triangle 42cm 37cm 35cm 24cm
[tex]0 \frac{ { {2 {?}^{?} \times \frac{?}{?} \times \frac{?}{?} }^{?} }^{2} }{?} [/tex]
Cheryl sells 21 children tickets, 23 adult tickets, and 7 senior tickets for the junior high soccer game. Write the ratio adult tickets to senior tickets in three ways.
Kevin wants to buy a new truck for $19,500. He has talked to the loan officer at his credit union and knows
that they will loan him $12,000. He must also pay $375 for a license fee and $1250 for taxes. What amount
of cash will he need to buy the truck?
Answer:
9125
Step-by-step explanation:
you get this answer by subtracting the cost of the new truck by how much the loan is and then adding 375 and 1250 for the license fee and taxes.
what digit 2 is in this number 296,743
What is "m= -2;( 7,-4 )" in slope intercept form?
Answer:
y = -2x + 10
Step-by-step explanation:
please help asap......
Answer:
I think that answer to first question is. A
Step-by-step explanation:
I think that answer to question 4 is 4 but there is no option for 4 look onto the picture
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEcan you create a rectangular prism net with a surface area of 394in
length 21
width 1
height 8
Answer
now i'm going to say i'm not 100% sure but i think its 168
Step-by-step explanation:
What is the equation of the line that passes through the points (2,3) and (6,5)
Answer:
[tex]y=\frac{1}{2}x+2[/tex]
Step-by-step explanation:
We can find the slope by using the formula
[tex]\text{slope}=\frac{y_1-y_2}{x_1-x_2}[/tex].
Plugging in the points (2,3) and (6,5), we have
[tex]\text{slope}=\frac{5-3}{6-2}=\frac{2}{4}=\frac{1}{2}.[/tex]
Therefore, the slope is [tex]\frac{1}{2}.[/tex] We can then write the line in slope-intercept form, which is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
We already found the slope, so we know the equation is of the form
[tex]y=\frac{1}{2}x+b.[/tex]
We can now plug in either one of the points to find [tex]b.[/tex] Plugging in (2,3), we get
[tex]3=\frac{1}{2}(2)+b[/tex].
To solve for [tex]b[/tex], we can subtract 1 from both sides of the equation:
[tex]3=1+b[/tex]
[tex]b=3-1=2[/tex].
Now, we have all the variables we need to write the equation in slope-intercept form. We know [tex]m=\frac{1}{2}[/tex] and [tex]b=2[/tex], so the equation is
[tex]y=\frac{1}{2}x+2.[/tex]
A bag contains 12 beads.
• 2 of the beads are blue.
• 1 of the beads is green.
• 3 of the beads are purple.
The rest of the beads are red.
. Julia takes a bead from the bag at random. Show that the probability that this bead is purple or red is 3/4.
Answer: veiw explanation
Step-by-step explanation:
12 - (2+1+3) = 6 red beads.
6 + 3 = 9 (total red and purple beads)
9/12 = 3/4
Your patio is 12 feet by 15 feet. After remodeling, the new dimensions are 18 feet by 22 feet. By how many square feet have you increased the area of your patio?
Work Shown:
Old area = 12*15 = 180 square feet
New area = 18*22 = 396 square feet
Difference = New - Old = 396 - 180 = 216
The patio's area increased by 216 square feet.
Brittany is making party favors. She is dividing
2
pound of jelly beans into 6 packages. How many
pounds of jelly beans will be in each package?
Answer:
3 pounds of jellybeans will be in each package
Step-by-step explanation:
2/6=3
If this is the graph of f(x) = ax+h+k, then:
OA. The domain is (-∞∞), and the range is (k, ∞).
B. The domain is (,0), and the range is (k, ∞o).
C. The domain is (,), and the range is (-∞0,00⁰).
D. The domain is (-∞,∞), and the range is (h, ∞o).
The correct option regarding the domain and the range of the function is given by:
A. The domain is (-∞, ∞), and the range is (k, ∞).
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.An exponential function is given in the function, which has no restrictions, hence the domain is (-∞, ∞).
The range depends of the vertical shift given by k, hence it is given by (k, ∞).
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Answer:
The domain is (-∞, ∞) and the range is (k, ∞).
Step-by-step explanation:
How do you solve this without using a calculator
Answer:
[tex]C)\:\:\frac{\sqrt 2}{ 2 } [/tex]
Step-by-step explanation:
[tex] \sin \bigg( \frac{3\pi}{4} \bigg) \\ \\ = \sin \bigg( \pi - \frac{\pi}{4} \bigg) \\ \\ = \sin \bigg(\frac{\pi}{4} \bigg) \\ \\ = \frac{1}{ \sqrt{2} }\\\\= \frac{\sqrt 2}{ 2 }[/tex]
Identify which value will be used for a variable. Write an equation that represents the problem Solve the problem
Question:
An Axolotl was pushed 48 yards downstream The Axolotl then swam in the opposite direction upstream at 6 yards benveen
breaks. How many breaks were taken?
Using proportions, it is found that when the Axolotl was swimming, 8 breaks were taken.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, in each break there are 6 yards. How many breaks are there in 48 yards? Hence the rule of three is given by:
1 break - 6 yards.
n breaks - 48 yards.
Applying cross multiplication:
6n = 48.
n = 48/6.
n = 8.
8 breaks were taken.
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a) Write an equation in terms of x that represents the problem. (b) Solve the problem.
The difference of 4 and a number is − 9. Find the number.
Part 1 of 2
The equation that represents the problem is_______ ?.
The number is_____?
Answer:
the equation is
x - 4 = - 9
the number is
-5
Step-by-step explanation:
First, we don't know the number so we represent it with a variable like "x".
then difference simply means subtraction.
" is" simply means = ( equal to)
so the question says that difference of 4 and a number is 9 so we have x - 4 = -9
so now let's solve for x
we group liked terms and make x stand alone.
x = -9 + 4
( +4 because it crossed an equal sign)
x = - 5
we have
x = -5
so we can substitute the -5 into the equation to if its true
from the equation x - 4 = - 9
where we put -5 instead of x
-5 - 4 = - 9
A cylinder has a base diameter of 20 in a height of 17 in what is the volume in cubic inches round to the nearest tenths place
Answer:
Step-by-step explanation:
more info
Given f(x) =4x + 8 and g(x) = x^2 + x ; find ( f o g ) ( -5 )
Answer:
88
Step-by-step explanation:
(fog)(-g) = f(g(-5))
g(-5) is 20
f(20) is 88
The composition of the function at x = -5,
(fog)(-5) = 88.
What is composite function?Let the two function f(x) and g(x) generate a new function h(x) using an operation.
The operation is composition of functions and h(x) is a composite function.
Given:
Two functions,
f(x) =4x + 8,
and g(x) = x² + x.
g(-5) = 20
The composition of the function at x = -5,
(fog)(-5) = f(g(-5))
(fog)(-5) = f(20)
(fog)(-5) = 20(4) + 8
(fog)(-5) = 88
Therefore, (fog)(-5) = 88
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The ratio of men to women working for a company is 4 to 5 . If there are 125 women working for the company, what is the total number of employees?
Answer:
225
Step-by-step explanation:
125/5=25
25x4=100 men
100men:125women = 4:5
100+125=225 total
determine the domain and the range for the relation in interval notation
Answer:
0≤x≥3
2≤y≥4
Step-by-step explanation:
which diagram represents a cylinder with a base area equal to 50 square meters?
25 m
O
5 m
O
50 m
V=250m³
V=250m³
V=250лm³
Answer:
it's the third option
Step-by-step explanation:
Answer:
C: 5m V=250πm3
Step-by-step explanation:
Proof:
Select the correct answer.
Which data set has the widest spread?
OA
data set A:3, 1, 2, 6, 7,2,5
O B. data set B: 4, 9, 4, 5, 3, 6, 8
Oc
data set C: 1, 4, 6, 5, 7, 8,5
data set D: 4, 3, 4, 7, 2, 3,1
data set E: 5, 1,4, 2, 6, 9,2
If you solve this problem Thank you 0-0
Answer:
Part A: 1
Part B: 30
Step-by-step explanation:
First row contains the error
Correct no of apples should be 30
What are the earnings for: 5 days at $69.00 a day =
Answer:
Each day you earn $69.00.
You work for 5 days in total.
5 days x $69.00 each day = $345 for 5 days of work