Complete Question
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the accoutnt after t years can be calculated using the expression below.
[tex]250(1+\frac{0.018}{2})^{2t}[/tex]
Use the given expression to complete the statements below.
The expression is the___(Product , Sum , Quotient , Square) of the amount initially deposited and the____(Quotient , Product , Difference , Sum) of one and the rate of increase raised to the number of ___.(Compounding Periods , Years, Months)
Answer:
ProductSumCompounding PeriodsStep-by-step explanation:
For an amount invested at compound interest at a rate of r% with period for t years,
Amount [tex]=P(1+\frac{r}{k})^{tk}[/tex]
Comparing with the given expression: [tex]250(1+\frac{0.018}{2})^{2t}[/tex]
Period =2
Rate =0.018
Total Compounding Period =2 X t, where t=Number of years
Therefore:
The expression is the Product of the amount initially deposited and the Sum of one and the rate of increase raised to the number of Compounding Periods .
SH
Complete each step in the following solution.
10x + 8 = 3(x - 2)
10x + 8 = 3x
DONE
7x=
DONE
x= -2
Answer: x= -2
Step-by-step explanation: use pemdas
10x + 8 = 3(x - 2) distribuite parenthesis
10x + 8 = 3x - 6
10x + 8 = 3x - 6 add like terms
7x +8= -6 add like terms
7x= -14 divide to get x alone
x= -2
Answer:
x = - 2
Step-by-step explanation:
10x + 8 =3(x-2)
10x + 8 =3x - 6
10x - 3x = - 6 - 8
7x = - 14
7x/7 = -14/7
x = - 2
Which of the following lists of ordered pairs is a function?
O A. (2, 4), (0, 2), (2, -4), (5,3)
O B. (1,6), (2,7),(4,9), (0,5)
O c. (0, 2), (2, 3), (0, -2), (4,1)
O D. (1, 2), (1, -2), (3, 2), (3, 4)
Answer:
B
Step-by-step explanation:
A function cannot have more than one point on the same x coordinate. So, B is the only option that works.
what is the sum of 1/2(4x+4) + (2x+8)
Answer:
4x + 10
Step-by-step explanation:
1/2 x 4x =2x
2x + 2x =4x
1/2 x 4 = 2
2 + 8 = 10 Answer: 4x + 10
Oliver bought a scarf that costs 8 dollars and a watch that costs 9 dollars. At the counter he received a discount. If he paid only 13 dollars, how many dollars was the discount.
Answer: 4
Step-by-step explanation:8 + 9 = 17 you take what he paid 13 and subtract 13 from 17 and you get 4. 4 is how many dollars off he got.
15. If the point (5,k) lies on the line represented by the equation 2x + y = 9, the value of k is....
C) -1
D) -2
A and B where wrong. 15 points for whomever answers correctly
Answer:
The answer is C.
Step-by-step explanation:
Given that (5,k) lies on the line that has the equation of 2x + y = 9. So in order to find k, you have to substitute the coordinates into the equation :
[tex]2x + y = 9[/tex]
Let x = 5,
Let y = k,
[tex]2(5) + k = 9[/tex]
[tex]10 + k = 9[/tex]
[tex]k = 9 - 10[/tex]
[tex]k = - 1[/tex]
I'll send a screenshot of the problem. I'd really like an answer, please do your best!
Answer:
a). $(725 - 22t)
b). $99
Step-by-step explanation:
Expense account of the school has balance after 't' weeks = $(450 - 70t)
And fundraising account has the balance = $(275 + 48t)
a). Total amount in both the accounts after 't' weeks
= $(450 - 70t) + $(275 + 48t)
= $(450 + 275) + $(-70t + 48t)
= $(725 - 22t)
b). Total amount after 8 weeks
= $(725 - 22×8)
= $(275 - 176)
= $99
2y + 4(y + 1) = blank y + blank
[tex]2y + 4(y + 1)[/tex]
Expand the brackets.
[tex]2y + 4y + 4[/tex]
Add the like terms.
[tex]6y + 4[/tex]
6y+4Answer:
6 y + 4
Step-by-step explanation:
=> 2y+4(y+1)
=> 2y+4y+4
=> 6y+4
a cylinder has radius 2cm. the volume of the cylinder is 100cmcubed. work out the height of the cylinder, rounded to 2 decimal places.
Answer: height = 7.96 cm
Step-by-step explanation:
Height = volume / πr^2
h = 100 / π*2^2
h = 7.96 cm
Helpppp with this asappp plz❤️
Step-by-step explanation:
1 (b) ( boy, boy), (boy,girl), ( girl,boy ), ( girl, girl )
(c) 4
(d) 2/4 = 1/2
(e) 1/4
2 (a) (1,head), (1,tail), (2,head), (2,tail), (3,head), (3,tail), (4,head), (4,tail)
(b) (A,1) (A,2), (A,3), (B,1), (B,2), (B,3), (C,1), (C,2),
(C,3)
In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to _____ and the measure of angle 1 is_____ degrees. The measure of angle 8 is _____ degrees.
Answer:
-11
Step-by-step explanation:
Let f(x) = x2 - 1 and g(x) = 2x - 3. Find the new function and write it in simplest form
f+g
a.
-x² + 2x - 2
b. x2 - 2x + 2
x² + 2x - 4
d. 2x3 - 3x2 - 2x + 3
Please select the best answer from the choices provided
A
B
С
D
Answer:
Option C is the correct answer
[tex] {x}^{2} + 2x - 4[/tex]
Step-by-step explanation:
[tex]f(x) = {x}^{2} - 1 \\ g(x) = 2x - 3 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = {x}^{2} - 1 + 2x - 3 \\ \purple{ \boxed{ \bold{ (f + g)(x) = {x}^{2} + 2x - 4}}}[/tex]
Answer:
Step-by-step explanation:
The sum of the measures of two complementary angles exceeds the difference of their measures by 86. Find the measure of the larger angle.
A standard six-sided die is rolled three times. Use multiplication to determine the probability that a one or two appears on the second roll, and an odd number appears on the third roll
Answer:
1/6
Step-by-step explanation:
Since we don't care what appears on the first roll
P( outcome) = 1
Second roll
P(1 or 2) = number of 1 or 2 / total number of outcomes
=2/6 = 1/2
Third roll
odd numbers 1,3,5
P( odd number)= number of odd numbers/ total
=3/6 =1/2
P( outcome, 1or 2, odd) = P( outcome) *P(1 or 2) *P( odd number)
= 1* 1/3 * 1/2
= 1/6
7/10 divided by 2
Please help if available ✌
Answer:
0.35
Step-by-step explanation:
if you divide them together you get 0.35
123
12
a
d
3
and which term are like terms?
Answer:
3ad3 will be the answer
Step-by-step explanation:
Answer:
3ad3
Step-by-step explanation:
Evaluate the expression shown for x = 9.
Negative StartFraction 5 over 6 EndFraction x + 7
Negative 13 and one-third
Negative one-half
7 and one-third
9 and two-thirds
Answer:
So since the equation is -5/6x+7 we need to plug in equation. So x is equal to 9 we have -45/6x+7. Now we need to simplify. That will give us -7 1/2+7
= - 1/2 So the answer is B
The answer is -1/2
What is expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.
Given:
-5/6 x+ 7
Now, for x=9
-5/6 * 9 + 7
=-15/2+7
=(-15+14)/2
=-1/2
Learn more about expression here:
https://brainly.com/question/14083225
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Si una persona de lunes a viernes entrena diariamente 1 hora ¿cuanto tiempo debe entrenar el sábado para que el promedio diario de las horas de entrenamiento de los 6 días sea 1,5 horas?
Answer: 4 horas
Step-by-step explanation:
Una semana (de lunes a viernes) contiene 5 días
Si se entrena 1 hora por día:
1 x 5 = 5 horas (total de horas de entrenamiento de lunes a viernes)
Ese total más el número de horas que se entrena el sábado (x) dividido por 6 (numero de días en la semana incluyendo sábado) debe ser igual a el promedio de horas entrenadas en los 6 días (1.5)
(5+x) /6 =1.5
Despajando x:
5+x =1.5 x 6
5+x =9
x =9-5
x = 4 horas
2x^2+14x-36 factored. please and thanks
Answer:
2 (x - 2) (x + 9)
Step-by-step explanation:
Mark brainliest please
4
3
5
6
Jacob rolls two fair number cubes. Find the probability that the sum of
the numbers he rolls is 8.
A Use the table to find the sample space for
1 2.
rolling a particular sum on two number cubes.
Each cell is the sum of the first number in that
1
row and column.
2
3
B
How many possible outcomes are in the
sample space?
4
5
с
6
Circle the outcomes that give the sum of 8.
D How many ways are there to roll
a sum of 8?
What is the probability of rolling a sum of 8?.
TRY THIS!
Find the probability of each event.
1a. Rolling a sum less than 5.
1b. Rolling a sum of 7 or a sum of 9.
REFLECT
1c. Give an example of an event that is more likely than rolling a sum of 8.
1d. Give an example of an event that is less likely than rolling a sum of 8.
Which equation represents the graphed function? A)-3x+2=y B)-2/3x+2=y C)3/2x-3=y D) 2x-3=y
Answer:
C) 3/2x-3=y
Step-by-step explanation:
-3 because that is the Y-intercept and 3/2 is the slope of the line. Y= mx +b is the formula and m is the slope and b is the y intercept.
The equation of given graph is y = [tex]\frac{-3}{2} x - 3[/tex]
Concept:The general equation of straight line is y = m x + x, whereLearn more about line here:
https://brainly.com/question/13763238
#SPJ2
Help me plsssss. Exterior angles definitions
Step-by-step explanation:
an angle that is complementary to one of the interior angles of the triangle because interior angle+exterior angle add up to 180°
Melanie’s bedroom floor is rectangular in shape and has a width equal to 8x−6 and a length equal to 7x−3. What equation represents the area of the floor?
Select one or more:
a. A=56x2+66x+18
b. A=56x2+18x+18
c. A=56x2−66x+18
d. A=56x2−18x+18
Answer:
C
Step-by-step explanation:
Since the area of a rectangle is the width multiplied by the length, the area of this one would be:
[tex](8x-6)(7x-3)= \\\\56x^2-42x-24x+18=\\\\56x^2-66x+18[/tex]
Therefore, the correct answer is choice C. Hope this helps!
what are the solutions of x^2-4x-9=29
Answer: x =(4-√168)/2=2-√ 42 = -4.481
x =(4+√168)/2=2+√ 42 = 8.481
Step-by-step explanation:
Answer:
x = -4.48, 8.48 to the nearest hundredth.
Step-by-step explanation:
x^2 - 4x - 9 = 29
Completing the square:
(x - 2)^2 - 4 - 9 = 29
(x - 2)^2 = 29 + 13 = 42
x - 2 = +/-√42
x = 2 +/-√42
x = 8.48, -4.48 .
Use the quadratic formula to find the solution to the quadratic equation below pt2
Answer:
x=3/2
Step-by-step explanation:
There is only one solution.
Answer: x=3/2
Step-by-step explanation:
what is x2 + y2 + 4x - 14y + 37 = in standard form
Steps:
Since there are no like terms. We have to convert the number that is x2 + y2 + 4x - 14y + 37 into standard form. The correct answer will be NaN X 10°
So that is in a standard form.
Answer: NaN X 10
Please mark brainliest
Hope this helps.
Evaluate A^2-B^2 for A=3 and B=-4.
Answer:
7
Step-by-step explanation:
3^2 = 9
(-4)^2 = 16
16-9= 7
Reflect triangle A in the line y=x
please can you just state all the coordinates to make up the triangle
Answer:
(5,6), (3, 6) and (3, 5).
Step-by-step explanation:
If we imagine the line y = x to be a mirror , the image of each point is the same perpendicular distance to the mirror has the original point.
So the image of (6,5) = (5,6)
(6, 3) ---> ( 3, 6)
(5,3) ---> (3, 5).
Note that the coordinates are reversed in each case.
In this case the general rule for the reflection is (x, y) ---> (y, x).
The diaper service where you work bills customers once a week. Each week, it charges 0.30 each for the first 75 diapers used, and .025 each for any additional diapers. How much should you bill a family that used 100 diapers last week?
Answer: The correct answer for this question is $6.55
Step-by-step explanation:
Hope this helps
Answer:
28.75
Step-by-step explanation:
which of the following descriptions represents the transformation shown in the image? part 2b
Answer: b) rotation of 180°, reflection across y-axis
Step-by-step explanation:
The black triangle is in Quadrant IV.
A rotation of 180° will move it to Quadrant II.
The red triangle is in Quadrant I so you must reflect it across the y-axis.
help me agian (**) plzzzzzzzzzzzzzzzzzzzz
Answer:
130%
Step-by-step explanation:
1.3=
130/100=
130%
Hope this helps!
Answer:
130%
Step-by-step explanation:
To express a decimal as a percent, you need to multiply it by 100.
1.3×100=
130
1.3 as a percent is 130%