Answer: [tex]a_1=50,d=25[/tex] and $475 deposited into the account on her birthdays by her 18th birthday.
Step-by-step explanation:
It is given that, on Gabriela’s first birthday, her parents gave her a $50 savings account.
Initial term : [tex]a_1=50[/tex]
On every birthday after that her parents added to the account, increasing the amount they deposited by $25 each year.
Common difference : [tex]d=25[/tex]
It forms an AP: 50,75,100,...
nth term of an AP is
[tex]a_n=a_1+(n-1)d[/tex]
Substitute [tex]a_1=50[/tex] and [tex]d=25[/tex] in the above formula.
[tex]a_n=50+(n-1)25[/tex]
It represents the amount deposited into the account after n birthdays.
We need to find the amount by her 18th birthday.
Put n=18 in the above equation.
[tex]a_{18}=50+(18-1)25[/tex]
[tex]a_{18}=50+(17)25[/tex]
[tex]a_{18}=50+425[/tex]
[tex]a_{18}=475[/tex]
Therefore, $475 deposited into the account on her birthdays by her 18th birthday.
We are to calculate total amount given to Gabriela on her 18th birthday
Total amount Gabriela’s parents will have deposited into the account on her birthdays by her 18th birthday is $475
Amount given to her on her first birthday = $50
Additional amount given to her each year = $25
number of years, n = 18
a1 = $50
d = $25
n = 18
Sum = a1 + (n - 1)d
= 50 + (18 - 1)25
= 50 + (17)25
= 50 + 425
= 475
sum = $475
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Answer:
y=[tex]\frac{x+9}{n}[/tex]
Step-by-step explanation:
x/y=n-9
x= y(n-9)
x= yn-9n
-yn= -x-9n
yn= x+9n
y=[tex]\frac{x+9}{n}[/tex]
Yikes! It is 11:35. Cinderella has to be home before midnight. She dances one more time with the prince, and it is a twelve minute song. She grabs some yummy mangoes from the buffet table, which takes her 6 minutes because of the line. It takes just eight minutes to get home in the pumpkin carriage. Will she make it? What time will she arrive home?
50 POINTS PLEASE HELP Segment JK has endpoint J(2,4) and K(6,2). You dilate the segment using a dilation centered at the origin with a scale factor of 1/2 and then reflect the image in the x-axis. What is the midpoint of the final image?
A (2, -1.5)
B (-2, 1.5)
C (2, 1.5)
D (1.5, 2)
Answer:
C.
Step-by-step explanation:
The midpoint of the final image is (2, 1.5).
What is the scale factor?Scale Factor is used to scale shapes in different dimensions. In geometry, we learn about different geometrical shapes both two-dimension and three-dimension.
Segment JK has endpoints J(2,4) and K(6,2).
You dilate the segment using a dilation centered at the origin with a scale factor of 1/2 and then reflect the image on the x-axis.
The co-ordinate of the final image is;
[tex]\rm J' = Scale \ factor (J) = \dfrac{1}{2} (2, \ 4) = (1, \ 2)\\\\K' = Scale \ factor (K) = \dfrac{1}{2} (6, \ 2) = (3, \ 1)\\[/tex]
The midpoint of the final image is;
[tex]\rm Midpoint \ of \ J'= \left (\dfrac{1+3}{2} \right )= \left (\dfrac{4}{2} \right )=2\\\\ Midpoint \ of \ K'= \left (\dfrac{2+1}{2} \right )= \left (\dfrac{3}{2} \right )=1.5[/tex]
Hence, the midpoint of the final image is (2, 1.5).
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If PR=40, what are PQ and RQ
Answer:
PQ = 23, QR = 17
Step-by-step explanation:
PR = PQ + QR = 40
Substitute PR and QR into the equation above
40 = 5x - 2 + x + 12
Combine like terms
40 = 6x + 10
Subtract 10 from both sides
30 = 6x
Divide both sides by 6
5 = x
PQ = 5x - 2= 5(5) - 2 = 23
Remember, PR = PQ + QR
40 = 23 + QR
Subtract 23 from both sides.
17 = QR
PQ = 23
Find the equation of a line in standard form that passes through the point (6, -2) and is perpendicular to 3x - 5y = 10.
When you calculate your net worth and file your taxes, good _______ is particularly important.
A. insurance
B. credit management
C. record keeping
D. communication
Answer: Record keeping
Step-by-step explanation:
A person's net worth is calculated as the total assets they own minus the total liabilities they owe. As such it will be very important to keep records so that you know what you own as well its value as well as what you owe as well.
Taxes are no different. The better the records you keep are, the more accurate your tax payments will be. Without proper records you could overpay taxes which would mean you lose money or you could underpay taxes which is a crime.
Teresa Gonzalez and Alan Carillo spent a total of $215.75 on their prom
date. Dinner cost $75.87. How much did everything else cost the
couple?
Answer:$139.88
Step-by-step explanation:
215,75-75.87 is 139.88
2/7(x+4)=−6 What is x?
Answer:
Assuming the question's format is [tex]\frac{2}{7} (x+4)=-6[/tex] the answer is x= -25
x=-17
2/7(x+4)=-6
?*2/7=-6. ?=-21
-21+4=-17
x=-17
2/7(17+4)=-6
solve for x: x-17 =-29
Answer:
x = - 12
Step-by-step explanation:
Given
x - 17 = - 29 ( add 17 to both sides )
x = - 12
Answer:
x=12
Step-by-step explanation:
when performing x-17=-29, you first have to do the inverse of -17 in order to isolate x. Therefore, your would +17 to the left side of the equation (x-17) resulting in only the letter x being left on that side. Then you would have to add the 17 to the other side of the equation resulting in x=-29+17 which will then result in x=12.
please help with question 9 :)))
Answer:
A
Step-by-step explanation:
Convert the decimal to a fraction in simplest form 0.6
Answer:
3/5
Step-by-step explanation:
0.6= 6/10
6/10 simplified is 3/5
Answer:
The answer is 6/10
Step-by-step explanation:
To convert a decimal to a fraction, place the decimal number over its place value. 0.6 in its simplest form would be 6/10.
Your welcome <3
six less than a number w
Question:
six less than a number w
Answer:
w-6
angle addition postulate
need steps on how to solve
Use the given D to find the range of each function:
a) g(x)=−3x+1, D={−2, 1, 4}
b)f(x)=2x+6, D={−5, −1, 4}
c)g(x)=5x−3, D={ −3, −2, −1}
d)f(x)=x−4, D={−2, −1, 3}
Answer:
a) R = {-11, -2, 7}b) R = {-4, 4, 14}c) R= {-18, -13, -8}d) R = {-6, -5, -1}Step-by-step explanation:
a) g(x)=−3x+1, D={−2, 1, 4}
g(-2) = -3(-2) + 1 = 7g(1) = -3*1 + 1 = -2g(4) = -3*4 + 1 = -11R = {-11, -2, 7}b) f(x)=2x+6, D={−5, −1, 4}
f(-5) = 2(-5) + 6 = -4f(-1) = 2(-1) + 6 = 4f(4) = 2*4 + 6 = 14R = {-4, 4, 14}c) g(x)=5x−3, D={ −3, −2, −1}
g(-3) = 5(-3) - 3 = -18g(-2) = 5(-2) - 3 = -13g(-1) = 5(-1) - 3 = -8R= {-18, -13, -8}d) f(x)=x−4, D={−2, −1, 3}
f(-2) = - 2 -4 = -6f(-1) = -1 - 4= - 5f(3) = 3 - 4 = -1R = {-6, -5, -1}I’m so confused about this problem please help me
Answer:
C
Step-by-step explanation:
Pi's approximate value is 3.14, and each dash on the number line represents 0.01. C is closest to the 4th dash.
please answer
6n(n+4)=-18
Answer:
n = -7
Step-by-step explanation:
Add '-24' to each side of the equation.
24 + -24 + 6n = -18 + -24
Combine like terms: 24 + -24 = 0
0 + 6n = -18 + -24
6n = -18 + -24
Combine like terms: -18 + -24 = -42
6n = -42
Divide each side by '6'.
n = -7
Simplifying
n = -7
The intersection of two planes (in geometry) that do not collide (if it exists) is what
Answer:
It's called a line in math
find angles EFG pleaseee
Answer:
50 degrees.
Step-by-step explanation:
Angle FGE = [tex]180-(7x+18)[/tex] because angles on a straight line add up to 180 degrees.
Angle EFG = [tex]180-38-(180-(7x+18))=6x-10[/tex] (Angles in a triangle add up to 180)
[tex]180-38-\left(-7x+162\right)=6x-10[/tex]
[tex]180-38+7x-162=6x-10[/tex]
[tex]7x-20=6x-10[/tex]
Add 20 to both sides:
[tex]7x-20+20=6x-10+20[/tex]
[tex]7x=6x+10[/tex]
Subtract 6x from both sides:
[tex]7x-6x=6x+10-6x[/tex]
[tex]x=10[/tex]
Angle [tex]EFG=6x-10=6(10)-10=60-10=50[/tex]
X+ 3y = 9
2x+ y = -2
Solve for x and y
Answer:
(-3, 4)
Step-by-step explanation:
hey there,
< From the first equation, let's find x.
x + 3y = 9
x = 9-3y (I hope you understand how that works )
Next, we can substitute our equation that equals to x into the second equation.
2x + y = -2
2(9-3y) + y = -2 (I substituted "x" in "2x" with (9-3y))
Now, let's solve.
2(9-3y) + y = -2
18 - 6y + y = -2
-5y = -20
y = 4
Now that we have found what y is equal to, we can find x too. In the beginning we found that x = 9-3y so x = 9-3(4) = -3 >
Hope this helped! Feel free to ask anything else.
Which description is represented by a discrete graph?
A. Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax?
B. The temperature at 9 a.m. was 83°F and is heating up at an average rate of 6°F per hour. What is the temperature x hours later?
C. Juan ate an egg with 78 cal and some cereal with 110 cal per serving for breakfast. What is the total amount of calories he consumed?
D. A bottle contained 2000 ML of liquid and is being poured out at an average rate of 300 ML per second. How much liquid is left in the bottle after X seconds?
Answer:
Answer:A)
Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax
here x will be number of bowl which can only be dicrete value e.g 1 , 2 , 3 , 4 ...
Step-by-step explanation:
A discrete graph is a series of scatter plot points. It means point on graph aren't continuous manner.
A continuous function allows the x-values to be ANY points in the interval, including fractions, decimals, and irrational values. A discrete function allows the x-values to be only certain points in the interval, only integers or whole numbers.
Example
Number of student, x
x can only be integer
5.1521, 5.4, 5.15, 5.015 least to greatest
Answer:
Step-by-step explanation:
5.015, 5.15,5.1521 and 5.4
9 cm
4 cm
Fine the area
Answer:
area formula: base x height 9x4=36
Step-by-step explanation:
If you want to find out how many sets of 3 are in 12, you can use???
Rearrange 2y = 3(2+x) make x the subject
Answer:
[tex]x =\frac{(2y-6)}{3}[/tex]
Step-by-step explanation:
2y = 3(2+x) {Use distributive rule}
2y = 3*2 + 3*x
2y = 6 + 3x {Subtract 3 form both sides}
2y - 6 = 3x {Divide both sides by 3}
[tex]\frac{(2y-6)}{3}=x[/tex]
GIVING BRAINLIEST TO BEST ANSWER!!!
How many gallons are in 50 liters? Round answer to the nearest tenth.
Step-by-step explanation:
1 gallons is about 3.785 litres.
Hence, the number of gallons in 50 litres is 50/3.785 ≈ 13.2.
Answer:
There are 13.2086 gallons in 50 liters. Rounded to the nearest tenths equals: 13.2
Step-by-step explanation:
What is the volume of this figure?
Answer:
875 cubic feet
Step-by-step explanation:
x÷4=6 I need to find x I cant please help need this desperatly
Answer:
244
Step-by-step explanation:
given question :x÷4=61
so,x=61*4
hence,x=244
the value of x in given equation is 244
Which series of transformation were performed in the figure?
A.reflection then rotation
B. Translation then reflection
C. Translation then rotation
D. Translation then dilation.
Who ever answers this question will be the brainliest!!
What is the simplified value of expression below 1/3 2/3
Answer:
C.1/2
Step-by-step explanation:
Answer: C (or 1/2)
Step-by-step explanation:
1/3 as a decimal is: 0.3333
2/3as a decimal is: 0.6666
how many sig figs are in 123,876.3 1,236,840 422000 0.000000000000211 0.000238 0.0000205
Answer:
123,876.3 = 7 sig figs
1,236,840= 7 sig figs
422000 = 3 sig figs
0.000000000000211= 3 sig figs
0.000238 = 3 sig figs
0.0000205 = 3 sig figs
Step-by-step explanation:
Leading zeros are not significant, trailing zeros with no decimal are not significant. Whole numbers are always significant.
