Answer:
$4556Step-by-step explanation:
Step one:
given data
Principal =£3400
rate= 5%= 0.05
time = 6years
Step two:
Required
The final amount A
A= P(1+r)^t
A=3400(1+0.05)^6
A=3400(1.05)^6
A=3400*1.341
A=$4556
after 6 years Dan will have $4556
The number of gallons of water in the pool is a function of
time in minutes.
In this function, which variable is independent?
O number of gallons of water
O time, 8 minutes
9514 1404 393
Answer:
time
Step-by-step explanation:
When you see wording ...
A is a function of B
it means that B is the independent variable.
Here, you have ...
gallons ... is a function of time ...
so the independent variable is time.
Sam read 6 chapters in 2 hours. If he continues to read at this same rate, how many chapters will he read in 1 day?
Answer:
He will read 72 chapters in 1 day
Step-by-step explanation:
Let us use the ratio method to solve this question
∵ Sam read 6 chapters in 2 hours
∵ He continues to read at this same rate for 1 day
→ We must change the day to hours
∵ 1 day = 24 hours
∴ We need to find how many chapters he will read in 24 hours
→ Chapter : Hour
→ 6 : 2
→ x : 24
→ By using cross multiplication
∵ x × 2 = 6 × 24
∴ 2x = 144
→ Divide both sides by 2
∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{144}{2}[/tex]
∴ x = 72
∴ He will read 72 chapters in 1 day
Lauren reads 30 pages in 6 minutes in a 240-page novel. What is the constant of proportionality that relates the number of pages, y, to the number of minutes, x?
Answer:
30y + 6x = 240
5y + x = 40
Answer is y + x = 8
What theorems can be used to prove the triangles are congruent?
SSS
ASA
AAS
HL
Answer:
1.) SAS | 2.) HL | 3.) HL | 4.) SSS (Not too sure about this one)
Step-by-step explanation:
A number cube is tossed 50 times, and a 2 is rolled 14 times. Find the experimental probability of not rolling a 2. Enter your answer as a simplified fraction.
Answer:
18/25
Step-by-step explanation:
With regards to the above information, we can infer that since a 2 is rolled 14 times, then 36[50 - 14]rolls are not 2.
The experimental probability would then be;
= 36/50
= 18/25
The experimental probability of not rolling a 2 is 18/25.
How are these triangles congruent
8x+12=4(3+2x)
Show your work please
Answer:
8x + 12 = 12 + 8x
0 = 0
Step-by-step explanation:
Distribute then simplify
Answer:
0x=0
Step-by-step explanation:
8x+12=12+8x
-12 -12
_____________
8x=8x+0
-8x -8x
_____________
0x=0
0=0
Hope this helps :D
3y + 4x =15
y = 2x² – 3x +5
Answer:
(0,5)
(5/6,35/9)
Step-by-step explanation:
A golf course charges $16 for a package including the full 18-hole course. The course also sells buckets of
golf balls for $21 each. The golf course would like to earn $555 by the end of the day.
Enter a linear equation that describes the problem.
An equation for the amount of money earned by the golf course is = $555, where c is the
number of course packages purchased, and b is the number of buckets of balls purchased.
16x + 21y = 555
Step-by-step explanation:
Let x be the no. of 18-hole course
And y be the no. of golf balls
16x + 21y = 555
Help me pls 4 5 6 7 8 and 9 pls
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Answer:
4C, 5D, 6A, 7E, 8B, 9s
Step-by-step explanation:
This is a vocabulary question. The angles named by the relationships A-E are angles that have the transversal as a common side. "Interior" and "exterior" refers to the space between the crossing lines, or outside the crossing lines, respectively. "Alternate" means the angles are on opposite sides of the transversal; "consecutive" means they are on the same side of the transversal.
Angles are "corresponding" if they are in the same direction from the point of intersection where the transversal crosses the two lines. The angles will be "consecutive", but one will be interior and the other will be exterior.
4. angle 9 is left of q, above r; angle 16 is right of q and below s, so these are alternate exterior angles, C.
__
5. angle 3 is below r and left of p; angle 5 is above s and left of p, so these are consecutive interior angles, D.
__
6. angle 7 is below s and left of p; angle 15 is below s and left of q, so these are corresponding angles, A.
__
7. angle 1 is above r and left of p; angle 10 is above r and right of q, so these are consecutive exterior angles, E.
__
8. angle 2 is above r and right of p; angle 11 is below r and left of q, so these are alternate interior angles, B.
__
9. angles 6 and 13 are above transversal s.
Convert the improper fraction to a mixed number and simplify to its lowest 8/3=2. /3
[tex] \frac{8}{3} = 2 \times \frac{?}{3} [/tex]
Answer:
8/3 = 2 x 4/3
Step-by-step explanation:
question 6 please help me ill give brainliest answer
Answer:
d
Step-by-step explanation:
because it makes sense and is proportional
In a bag of marbles, the ratio of green to red marbles is 6 to 5. If there are 95 red marbles, how many total marbles are in the bag?
Answer:
I think the answer is 209
Step-by-step explanation:
6(green): 5(red)
if we divide 95 by 5 we get 19.
Lets multiply 6 by 19 and we get 114.
114 plus 95 is 209.
hope it helps
Select the expressions that are equivalent to 6u + U.
7u
U times 7
40 + 2u + u
3u + 4u
Answer:
7u, U times 7, and 3u + 4u.
Find the area of a circle that has a circumference of 175.84 inches
with explanation.
Will give brainliest.
Answer:
[tex]{ \boxed{ \bold{ \text{Area \: of \: a \: circle} \: = \tt{2461.76 \: {inches}^{2}}}}} [/tex]
☯ Question :Find the area of a circle that has a circumference of 175.84 inches.☯ Step - by - step explanation :☄ Given :
Circumference of a circle = 175.84 inches☄ To find :
Area of a circle = ?☄ First, we have to find :
Radius of a circle ( r )♨ Finding the radius of a circle :
[tex] \boxed{ \sf{Circumference \: of \: a \: circle = 2\pi \: r}}[/tex]
Substitute the value of circumference of a circle
[tex] \longrightarrow{ \sf{175.84 = 2\pi \: r}}[/tex]
Swap the sides of the equation
⟶ [tex] \sf{2\pi \: r \: = 175.84}[/tex]
Use [tex] \sf{ \pi \: ≈ \: 3.14}[/tex] , we obtain
[tex] \longrightarrow{ \sf{2 \times 3.14 \times r = 175.84}}[/tex]
Multiply : 2 by 3.14
[tex] \longrightarrow{ \sf{6.28 \: r = 175.84}}[/tex]
Divide both sides by 6.28
[tex] \longrightarrow{ \sf{ \frac{6.28 \: r}{6.28} = \frac{175.84}{6.28}}} [/tex]
[tex] \longrightarrow{ \sf{r \: = \: 28 \: inches}}[/tex]
☞ Now , we have :
Radius of a circle ( r ) = 28 inchesFinding the area of a circle having the radius of 28 inches :
[tex] \boxed{ \sf{Area \: of \: a \: circle = \pi \: {r}^{2} }}[/tex]
Substituting the radius , we get :
[tex] \longrightarrow{ \sf{Area \: of \: a \: circle = \pi \: {(28)}^{2} }}[/tex]
[tex] \longrightarrow{ \sf{Area \: of \: a \: circle = 784 \: \pi}}[/tex]
Using [tex] \sf{\pi \: ≈ \: 3.14}[/tex] , we obtain :
[tex] \longrightarrow{ \sf{Area \: of \: a \: circle = 784 \times 3.14 }}[/tex]
[tex] \longrightarrow{ \boxed{ \sf{Area \: of \: a \: circle = 2461.76 \: {inches}^{2} }}}[/tex]
Therefore , area of a circle is 2461.76 inches²
And we're done !
Hope I helped!
Have a wonderful time!ツ
━━━━━━━━━━━━━━━━━━━━━━━━━━━━
the sum of the speeds of two trains is 721.6 miles per hour. if the speed of the first train is 8.4 mph faster than that of the second train find the speeds of each
Subtract the faster speed:
721.6 - 8.4 = 713.2
Divide by 2 trains:
713.2/2 = 356.6
The slower train is going 356.6 miles per hour.
The faster train is going 356.6 + 8.4 = 365 miles per hour.
Considered a graph below
Answer: [tex]y=-\frac{5}{4} x+5[/tex]
Step-by-step explanation:
Please mark brainliest if this helped :)
Answer
the answer is y=2x-x
Last season he scored 179 touchdowns. This season he scored 253 touchdowns.
What was the percent increase in the number of touchdowns Frank scored?
Round to the nearest percent.
how many solutions are there to this problem
| 8k-7 | =0
If The Base Of A Triangle Is 6 cm And Its Hypotenuse Is 10cm, Then Find Its Area Pls Reply ASAP
the awnser would be 24cm^2
PLLLLEEEEEEAAASSSSSSSSEEEE
help it is easy but I am just tired
Determine which of the lines, if any are perpendicular.
Line a passes through (2, 10) and (4, 13).
Line b passes through (4, 9) and (6, 12).
Line c passes through (2, 10) and (4, 9).
Given:
Line a passes through (2, 10) and (4, 13).
Line b passes through (4, 9) and (6, 12).
Line c passes through (2, 10) and (4, 9).
To find:
Which of the lines, if any are perpendicular.
Solution:
If a line passes through two points, then the slope of line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Line a passes through (2, 10) and (4, 13). So, slope of this line is
[tex]m_a=\dfrac{13-10}{4-2}=\dfrac{3}{2}[/tex]
Line b passes through (4, 9) and (6, 12). So, slope of this line is
[tex]m_b=\dfrac{12-9}{6-4}=\dfrac{3}{2}[/tex]
Line c passes through (2, 10) and (4,9). So, slope of this line is
[tex]m_c=\dfrac{9-10}{4-2}=\dfrac{-1}{2}[/tex]
Product of slopes of to perpendicular lines is -1.
[tex]m_a\cdot m_b=\dfrac{3}{2}\times \dfrac{3}{2}=\dfrac{9}{4}\neq -1[/tex]
[tex]m_b\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1[/tex]
[tex]m_a\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1[/tex]
Therefore, any of these lines are not perpendicular to each other.
Andy installs shelving. He uses 0.2 ounces of wood glue for every yard of shelving. Which statement is true?
1. Andy uses between 2 and 3 ounces of glue to install 85 yards of shelving
2. Andy uses between 10 and 15 ounces of glue to install 38 yards of shelving
3. Andy issues between 15 and 20 ounces of glue to install 92 yards of shelving
4. Andy uses more than 25 ounces of glue to install 50 yards of shelving
Answer:
3
Step-by-step explanation:
92x0.2=18.4
18.4 is between 15 and 20
4. X varies directly with the square of y, where x>0,
and y >0. If x= 3 when y = 5, then what is the value
ofy when x= 48?
Answer:
The value of y, when x = 48 is y = 12/5
Step-by-step explanation:
The given parameters are;
x is directly proportional to y
Where x > 0, y > 0
For x = 3. y = 5
Therefore, we have;
x ∝ a·y²
For ,x = 3, when y = 5, we have;
3 = a × 5² = 25·a
∴ a = 25/3
When x = 48, we have;
48 = 25/3×y²
y² = 3/25 × 48 = 144/25
y = √(144/25) = 12/5
y = 12/5
The value of y, when x = 48 is y = 12/5.
the volume of a cylinder whose base area is 300sq.cm and height is 15 cm is
1)450
2)4500
3)45000
Answer:
(2)
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = area of base × height
= 300 × 15
= 4500 cm³
find the primter of a traingle( the numbers around
it are 1/3 1/5 and 1/8) ASAP PLZ
Answer:
79/120
Step-by-step explanation:
Answer:
79/120
Step-by-step explanation:
You make all the answers to have the same denomination and then add them.
0.6 can be written as the fraction
Answer:
0.6 = [tex]\frac{6}{10}[/tex]
someone help please!
Worth 30 points!!!! Will mark brainliest!! Please help!!!!!!
The Jackson Family started a small business. The equation y=5.9x-19.5 models the business's cash value, in thousands of dollars, X years after they started their business.
Which statement best explains what the y-intercept of the equation means?
A. The Jackson's lost $19,500 every year they were in business.
B. The Jackson's lost $19,500 the first year they were in business.
C. The Jackson's started their business with a debt of $19,500.
D. The Jackson's lost $19,500 every 5.9 years.
Which Correlation is most likely a causation?
A. The positive Correlation between the number of skiers and snowboarders on a mountain.
B. The positive Correlation between the number of typing classes a student takes and the number of words per minute the student can type.
C. The positive Correlation between the sales of cell phones and the sales of televisions in a store.
D. The positive Correlation between the number of shopping carts at a store and the number of cash registers in the store.
Answer:
C and B
Step-by-step explanation:
in x=5.9x-19.5 the y int is -19.5 (y=mx+b m = slope b =y int)
According to the information they earn 5.9 of something "every payday" and the y int is them starting out. The only logical answer is C for the first question because every other answer involves slope and not starting value.
For the second one it is B i think since causation means cause to effect or ratio. They are the only values that make since because they are related to eachother.
Sorry for the bad spelling if you need any more information please ask in comments :)
The answers of question 1 and question 2 are option C and B respectively.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
Given equation,
y = 5.9x - 19.5
And we have the slope intercept form
y = mx + b,
where m is the slope and b is the y-intercept.
Comparing above of both the equation,
Here, the y intercept is -19.5 and the slope is 5.9
According to the information they earn 5.9 of something "every payday" and the y intercept is them starting out.
The answer is C for the first question because every other answer involves years that means slope and not starting value.
For the second one,
answer is B i think since causation means cause to effect or ratio.
The positive Correlation between the number of typing classes a student takes and the number of words per minute the student can type.
Relation is directly related to each other.
Therefore, the answers of question 1 and question 2 are option C and B respectively.
To learn more about the slope;
brainly.com/question/3605446
#SPJ2
A triangle has sides with lengths of 26 meters, 39 meters, and 43 meters. Is it a right triangle?
Answer: No
Step-by-step explanation:
This triangle is not a right triangle because:
A right triangle must have one side that is exactly 90°.
A triangle with sides 26, 39, and 43 do not have any sides that total 90.
The answer to your question is no.
Best of Luck!
Answer:
No, the side don't equal 90
A student took a test with 35 questions, they received a 78% on the test. How many questions did they answer correctly?
Answer:
27
Step-by-step explanation: