Answers
Related Questions
Find the interest on an investment of $45,000
compound annually at 5.25% for 6 years
A = P(1 + r)t
Answers
Answer:
The interest on the investment is $16,170.93811
Step-by-step explanation:
The rule of the compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the new valueP is the initial valuer is the rate in decimaln is the number of periods in timet is the time∵ The investment is $45,000
∴ P = 45,000
∵ The interest on the investment is compounded annually at 5.25%
∴ r = 5.25% = 5.25 ÷ 100
∴ r = 0.0525
∴ n = 1 ⇒ compound annually
∵ It is for 6 years
∴ t = 6
→ Substitute them in the rule above
∵ [tex]A=45,000(1+\frac{0.0525}{1})^{1(6)}[/tex]
∴ [tex]A=45,000(1.0525)^{6}[/tex]
∴ A = 61,170.93811
∵ I = A - P, where I is the interest
∴ I = 61,170.93811 - 45,000
∴ I = 16,170.93811
∴ The interest on the investment is $16,170.93811
Q
H.
The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:
Step
Statements
Reasons
1
UV || WZ
Given
2
Points S. Q, R, and T all lie on the same line.
Given
3
mZSQT = 180°
Definition of a Straight Angle
Angle Addition Postulate
4
m2SQV + m2VQT = m_SQT
5
Substitution Property of Equality
6
m2VQT + mZZRS = 180°
Same-Side Interior Angles Theorem
Substitution Property of Equality
7
m2SQV+mZVQT = m2VQT + mZZRS
Answers
Answer:
i can't understnd it at all i mean you organized it but what does those mean??
Step-by-step explanation:
Pls help i reall need help with this
Simplify Each
1. 3 - {7 - [8 + (7 - 3)] }
2. 12 - ( 3 - 4) - [8 - 6] + 5
3. - {2 - [7 - 8] + 2 - (1 - 3)}
4. 6 + 3
2 + 3
5. 4+5
- [ 8 - (245)]
1 - 4
Answers
Answer:
1.8
2.16
3.-7
5.-702
I didn't understand the 4th one
Answer:
1) 8
2) 16
3) -7
4) 14
5) 243
Step-by-step explanation:
For number 4 i just assumed you meant 6 + 3 + 2 + 3
The question is in the image! Please help if u can its due really soon
Answers
Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
i need elp ill give a brainly to whoever helps me
Answers
Answer:
x=3
Step-by-step explanation:
cross multiply
12.5*2=30
10*x=10x
10x=30
/10
x=3
Answer:
30
Step-by-step explanation:
2.5X12=30
Which one is true? Select all that apply.
A. The slope of AC is equal to the slope of BC.
B. The slope of AC is equal to the slope of BD.
C. The slope of AC is equal to the slope of line t.
D. The slope of line t is equal to EC/AE
E. the slope of line t is equal to FB/FD
F. The slope of line t is equal to AE/FD
Answers
Answer:
Options (A), (B), (C) and (E).
Step-by-step explanation:
Option (A).
Slope of AC is equal to the slope of BC.
Since, points A, B and C are collinear points,
Slopes of AC and BC will be equal.
True.
Option (B).
Since, points A, B, C and D are collinear points, slope of AC and BD will be equal.
True.
Option (C).
Points A and C are lying on line 't'.
Therefore, slope of line 't' and line AC will be equal.
True.
Option (D).
Slope of 't' = slope of line AC
= [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{AE}{EC}[/tex]
False.
Option (E).
Slope of line 't' = slope of line BD
= [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{FB}{FD}[/tex]
True.
Option (F).
Slope of line 't' = [tex]\frac{AE}{FD}[/tex]
False.
Evaluate each value expression for the given valueof x: 20-3x, x=5
Answers
Answer:
= 5
Step-by-step explanation:
20 - 3(5)
20 - 15
= 5
HELP IDK WHAT TO DOOO
Answers
Answer:
yes shes correct
Step-by-step explanation:
she is correct because 4 and 4 equal 8 which means each tree coat 10 each which is 80$
Answer:
hint find the diference
Step-by-step explanation:
Johnny is given 18 bottles of beer and he drinks 6 of them. How much beer does Johnny have left?
Answers
Answer: 12 bottles left
Step-by-step explanation:
18-6=12 bottles
Answer:
Johnny will have 7 beer bottles left.
Step-by-step explanation:
A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?
Answers
10/6 * 45 = 75 feet
4/5x - 1/10 = 3/10 what is the value of x
Answers
Answer:
x=1/2 or 0.5
Step-by-step explanation:
Hope this helps and have a great day :)x·6−14=46
Answer asap!!!! thank you!!
Answers
Answer:
x=10
Step-by-step explanation:
[tex]6x-14=46\\6x=60\\x=10[/tex]
Math is the only place where is not questionable as to why someone has 83.
Answers
Answer:
true
Step-by-step explanation:
Help!!!
By rounding each number to 1sf. Estimate the answer to 7.238 × 125.5413
Answers
Answer:
909
Step-by-step explanation:
I'm not sure if I'm right plz tell me if I'm wrong
How many boxes should be shaded on the grid to show 3/8 x 3/4
Answers
Answer:
9 boxes
Step-by-step explanation:
What is the slope and y-intercept of x/3= -y+2 and how?????
Answers
then you get -y equals 1/3x -2 so you have to flip the sign of the entire equation because you can’t have a negative line
so you get y = -1/3x + 2
the y-intercept is (0,2)
the slope is -1/3x (aka -x/3)
What is the dollar value of 2 pennies and 3 dimes? What is the dollar value of p
Dennies and d dimes?
Answers
Answer:
32 cents? This is a weird phrased question!
Step-by-step explanation:
Solve for x
-22=2(x-10)
Answers
Answer:
−
2
2
=
2
(
−
1
0
)
x-22={\color{#c92786}{2(x-10)}}
x−22=2(x−10)
−
2
2
=
2
−
2
0
Step-by-step explanation:
Answer:
x=-21
Step-by-step explanation:
first expand the brackets
-22=2x-20
then make x on its own
-42=2x
then dived by 2
-21=x
What is the y-intercept of y=
-3x
Answers
Which of the following expressions is not equivalent to (-2)(8 +6+-3)?
(-2)(8 + 6) + (-2)(-3)
(-2)(8 + 6) + (-3)
(-2)(8) + (-2)(6) + (-2)(-3)
(-2)(8) + (-2)(6 +-3)
NEXT QUESTION
о
ASK FOR HELP
594
Answers
Answer:
[tex]b.)31\neq -22[/tex]
Step-by-step explanation:
Simplify each equation using PEMDAS:
Parentheses (x)
Exponents x²
Multiplication and Division, left to right × ÷
Addition and Subtraction, left to right - +
It is also important to follow PEMDAS when working within grouping symbols like parentheses.
Also, remember that two negatives make a positive, and when a negative and positive are multiplied, the result is always negative.
[tex](-2)(8+6+-3)\\\\-2*(8+6-3)\\\\-2*(14-3)\\\\-2*11\\\\-22[/tex]
Find which answer is not equal to -22.
a.) [tex](-2)(8+6)+(-2)(-3)\\\\-2*(8+6)-2*-3\\\\-2*14-2*-3\\\\-28-2*-3\\\\-28+6\\\\-22[/tex]
---------------------------------------------------
b.) [tex](-2)*(8+6)+(-3)\\\\-2*(8+6)-3\\\\-2*14-3\\\\-28-3\\\\-31[/tex]
---------------------------------------------------
c.) [tex](-2)(8)+(-2)(6)+(-2)(-3)\\\\-2*8-2*6-2*-3\\\\-16-2*6-2*-3\\\\-16-12-2*-3\\\\-16-12+6\\\\-28+6\\\\-22[/tex]
---------------------------------------------------
d.) [tex](-2)(8)+(-2)(6+-3)\\\\-2*8-2*(6-3)\\\\-2*8-2*3\\\\-16-2*3\\\\-16-6\\\\-22[/tex]
---------------------------------------------------
Option b is not equal to -22.
:Done
(70 points) please answer this question and explain how you get the answer!!
Answers
Answer: -0.10
Step-by-step explanation:
there is a pattern because 2014 0.45, 2015 0.20, 2016 0.35, 2016 0.10.
Answer: -0.10
Step-by-step explanation:
because of the down fall
need this asap!!! will give brainliest and a thanks! :))
Answers
Answer:
The answer is A
Step-by-step explanation:
I am smart
a number with a negative exponent can always be written using positive exponents in fraction form. the numerator will always be ___
please finish the sentence
Answers
Answer:
1
Step-by-step explanation:
i did this in 8th grade so last year. trust me
can i get brainlest
The height, h in feet, of a rocket is given by h=-16t^2+64t+190, where t is time in seconds. Find the maximum height of the rocket and find the time the rocket was in the air.
Answers
Step-by-step explanation:
The height, h in feet, of a rocket is given by, where t is time in seconds.
[tex]h=-16t^2+64t+190[/tex] ...(1)
We need to find the maximum height of the rocket and find the time the rocket was in the air. For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d(-16t^2+64t+190)}{dt}=0\\\\-32t+64=0\\\\t=\dfrac{64}{32}\\\\t=2\ s[/tex]
So, it will reach its maximum height in 2 seconds.
Now put t = 2 in equation (1) as follows :
[tex]h(2)=-16(2)^2+64(2)+190\\\\=254\ \text{feet}[/tex]
So, the maximum height of the rocket and find the time the rocket was in the air is 254 feet and 2 seconds respectively.
Patrick spent a total of $29.82 for 14 paintbrushes, $31.84 for 16 drywall anchor screws, $27.15 for 12 light bulbs, and $36.54 for 18 pieces of sandpaper at his local hardware store. Which purchase had the highest per item cost?
A.
paintbrushes
B.
light bulbs
C.
sandpaper
D.
drywall anchor screws
Answers
Answer: Light bulbs.
Step-by-step explanation:
Paint Brushes: 29.82 ÷ 14 = $2.13 per brush.
Drywall Screws : 31.84 ÷ 16 = $1.99 per anchor screw.
Light Bulbs: 27.15 ÷ 12 = $2.26 per light bulb.
Sandpaper: 36.54 ÷ 18 = $2.06 per piece of sandpaper.
Use the figure to find the measure of angle 1. *
Answers
Answer: angle 1 = 110 degrees
This is because angle 1 and the red 110 degree angle are corresponding angles.
They correspond to one another due to the fact they are both in the southwest corner of each 4-corner angle configuration (which is the result of crossing two lines)
Corresponding angles are congruent only when we have parallel lines like this.
State if the two triangles are congruent, if they are state how you know.
A. SSS
B. HL
C. LL
Answers
Answer:
I belive it would be HL because its defenitly not SSS
Step-by-step explanation:
HL Postulate is if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
The equation y-2/3=(x-1/4) is written in point-slope from what equation in slope-intercept from
Answers
Answer:
y=x+5/12
good luck...
For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy???
Answers
Answer: 4 and a half
Step-by-step explanation:
3(10 - x) = 21
30 -
21
30 - 3x
= 21
- 3x
- 3x
-9
=
X =
Answers
Answer:
x=3
hope this answers is ok na
Step-by-step explanation:
I am answering blanks left to right and top to bottom.
3x
30 30
-9
-3 -3
x = 3