Answer:
principal (p)=$35000
time(t)=8years
rate ( r)=7%
Step-by-step explanation:
compounded amount(c.a)=p((1+r/100)^t )=$35000((1+7/100)^8)=$60136.5compound interest gain=$60136.5-$35000=$25136.5Karl gain interest in 1 year=$35000((1+7/100)-1)=$2450gain % in 1 year=$2450/$25136.5×100%=9.74%
Which of these options is not a postulate that can be used to prove that two triangles are
congruent?
A. SSS
B. SAS
C. ASA
D. AAS
E. AA
F. HL
Answer:
AA
Step-by-step explanation:
AA, or Angle- Angle, can only be used to prove two triangles similar, not congruent.
the first 4 terms and the 10th term for 3n+4
Answer:
first 4 terms =7,10,13,16
10th term = 34
Step-by-step explanation:
3n+4
3(1)+4=7
3(2)+4=10
3(3)+4=13
3(4)+4=16
7,10,13,16
10th term = 3(10)+4= 34
The first four terms of the sequence having nth term 3n+4, are 7, 10, 13, 16 and the 10th term is 34.
What is arithmetic sequence ?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
Given that,
The nth term of a sequence is given by 3n+4,
To find the first 4 terms, substitute the values of n,
At n=1, the first term = 3(1) + 4 = 3 + 4 = 7
At n=2, the second term = 3(2)+4 = 6 + 4 = 10
At n=3, the third term = 3(3) + 4 = 9 + 4 = 13
At n=4, the fourth term = 3(4) + 4 = 12 + 4 = 16
For 10th term, substitute n=10.
At n=10, the tenth term = 3(10) + 4 = 30 + 4 = 34
The first four terms are 7, 10, 13, 16 and the 10th term is 34.
To learn more about Arithmetic sequence on :
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Enter an inequality that represents the description, and then solve. Dave has $14 to spend on a $7 book and two birthday cards (c) for his friends. How much can he spend on each card if he buys the same card for each friend? Inequality: Dave can spend up to $ on each card if he buys the same card for each friend.
Answer:
3.5
Step-by-step explanation:
14 - 7 = 7
7/2
3.5
so thats the most hope I helped
You have a jar filled with quarters and dimes. You choose 10 coins at random from the jar. Together, they are worth $2.05. How many of each type do you have?
Answer:
5 dime and 5 quaters
5x.10=.70
5 x .25=1.25
1.25 + .70= 2.05
i need help on number 5 this is due at 11.59 thank you :)
whats the answer to his question
You don't have to explain it
Answer:
A
Step-by-step explanation:
If gas costs $4.55 per gallon how many whole gallons of gas could you buy with $12.00?
The amount of gallons of gas that can be bought with $12 is 2.64 gallons.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
Cost of gas per gallon = $4.55
This can be written as,
1 gallon = 4.55
Multiply 12/4.55 on both sides.
12/4.55 gallons = 12/4.55 x 4.55
2.64 gallons = 12
This means,
2.64 gallons for $12.
Thus,
2.64 gallons can be bought for $12.
Learn more about unit rates here:
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(b) Write 0.06 in standard form.
Answer:
6×10^(-2)
Step-by-step explanation:
[tex]6 \times {10}^{ - 2} [/tex]
Please help ASAP!!!!!!
Answer:
The answer is 41.
it is 80 so you need to multiple
how many centimeters are in 9,000 millimeters
Answer:
900 centemeters
Step-by-step explanation:
Answer:
9000 millimeters= 900 centimeters
Step-by-step explanation:
you have to divide the length value by 10, thats how you get your answer
i hope this helps. :)
Please help Asap if possible
Answer:
A
Step-by-step explanation:
its A
Need help!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
bus: 324 ft long
P-H: 1154 miles
Step-by-step explanation:
In each case, we can use the relation that the length of an arc (s) is found by ...
s = rθ
where r is the radius and θ is the angle in radians.
__
1. 2°20'50" = (2 + 20/60 + 50/3600)(π/180) radians ≈ 0.0409668 radians
Then the length of the bus is ...
(0.0409668)(1.5 mi)(5280 ft/mi) = 324 ft
__
2. The difference in latitude is ...
41°17'5" -24°45'30" = 16°31'35" ≈ 0.288440 radians
Then the mileage between latitude lines is ...
s = (4000 mi)(0.288440 radians) ≈ 1154 miles
__
Additional comment
Neither of these problems should be considered to be realistic. An actual bus will subtend a far smaller angle at the given distance. The distance between cities must take into account longitude as well as latitude (and the latitudes must be properly associated with the cities).
Help please//brainliest!
Hi there!
The answer for this question is C, BD. As you can see, BC and DA are the same which means that AB and CD are also the same.
That only leads to BD which means that BD has the shortest sides.
Liang's solution of a system of linear equations is shown. Explain her error. 3x − 2y = 12 −x − 2y = −20 2x + 0 = −8 x = −4 −(−4) − 2y = −20 4 − 2y = −20 − 2y = −24 y = 12 Enter the solution as an ordered pair. (−4, 12) Complete the explanation for Liang's error and give the correct solution. Liang (select) the two equations, but (select) the y−terms. The equations should be (select) . The solution is .
Step-by-step explanation:
bro what kind of class got u doing these math equations
Maria looked at the nutrition labels for 5 different foods. She recorded the total calories and the calories from fat for each food in a table.
Calories
Calories from Fat
Percent of
Calories
from Fat
60
270
455
130
Food 1
Food 2
Food 3
Food 4
Food 5
125
40
90
25
310
95
Maria wants to identify which foods have a percent of calories from fat that is less than 30%. Select all of the foods that meet this criterion.
Answer:
food 1 food 3 food 5
Step-by-step explanation:
Each batch of cookies is 8.9 oz. what is the weight of 2.5 batches of cookies?
Answer: 22.25 oz.
Step-by-step explanation: if one is 8.9 then you need to multiply 8.9 * 2.5
Please help meeeew il mark brainliest
Answer:
Correct answer is cylinder
Step-by-step explanation:
I just took this
hool: Practice & Problem Solving
ΘΑττ
2.1.PS-13
Question Help
A contractor bought 8.2 ft? of sheet metal. She has used 2.3 f? so far and has $177 worth of sheet
metal remaining. The equation 8.2x - 2.3x = 177 represents how much sheet metal is remaining and
the cost of the remaining amount. How much does sheet metal cost per square foot?
Sheet metal costs $ per square foot.
ANSWER=30
because if you 8.2-2.3 you get 5.9 and if you divide by 177 it is 30
hope it helps
#4
Round $1.362 to the nearest cent.
Answer:
1.360 or 1.36 .....................
How do you write this out please help
Find the area of the figure
Answer:
What figure?
Step-by-step explanation:
A television screen has a length of 33 ft and a width of 45 ft. A second television is similar to the first television. The second television is 51 ft. wide. What is the length of the second television? (Decimal Answer)
Length of the second television = ____ft
Answer:1683
Step-by-step explanation:33 ft x 51 ft = 1683
-3 is a zero for the polynomial:
x^3 + 7x^2 + 16 x + 12
True or False
Answer:
true
Step-by-step explanation:
If x = - 3 is a zero of the polynomial then f(- 3) = 0
f(x) = x³ + 7x² + 16x + 12
= (- 3)³ + 7(- 3)² + 16(- 3) + 12
= - 27 + 63 - 48 + 12
= 0
Since f(- 3) = 0 then x = - 3 is a zero of the polynomial
Solve for a: -8b+2a=6c
Answer:
a=3c+4b
Step-by-step explanation:
-8b + 2a = 6c
(-8b + 2a) + 8b = 6c + 8b
-8b + 2a + 8b = 6c + 8b
-8b + 8b + 2a = 6c + 8b
2a = 6c + 8b
2a/2 = 6c + 8b/2
a = (2x3)c + [tex]2^{3}[/tex] x b)/2
a = 3c + 4b
Ms.Koehler is planting A treat to help save the environment. She decided to keep track of the height of the tree over the years. After the first year Ms. Koehler measured the tree to be 8 feet tall. She took note that this was an increase of 3 feet from the previous year. Assuming the tree will continue to grow at this rate I answer the following questions.
Write an equation representing the height of Ms. Koehler’s three overtime, where y represents the height of the tree and x is the number of years since being planted
9514 1404 393
Answer:
y = 3x +5
Step-by-step explanation:
We are told the height increase is 3 ft in 1 year. That is the slope of the linear function representing height.
We are told that in year 1 the height was 8 ft, and that it was 3 ft less in the previous year. That is, it was 5 ft high in year 0. So, the y-intercept of the function is 5.
The slope-intercept equation is ...
y = mx + b . . . . for slope m and y-intercept b
y = 3x + 5
What value make the statement true?
-4x+5 >17
x=4
X=-4
X=-2
X=-3
Answer:
-4
Step-by-step explanation:
-4(-4) + 5 > 17
16 + 5 = 21 > 17
If mZEBD = 4x + 16 and m2DBC = 6x + 4,
find mZEBD.
Answer:
4 ( x + 4 )
Step-by-step explanation:
18% discount on a list price of $25
Answer:
$20.50
Step-by-step explanation:
100% price - 18% discount = 82%.
82% can be written as .82
The original price was 25, so we multiply 25 by 0.82. We get $20.50.
If you are looking for the amount saved, subtract 20.5 from 25. We get $4.50.
A goalie makes 12 saves in 4 games. What is the unit rate of saves per game?
Answer:
3 saves per day
Step-by-step explanation:
Since we are finding the number of saves per day, our first dividor will be the number of saves, then we divide by the other number. We have 12 saves in total, and four games, so we will have to divide.
12 divided by 4 is equal to 3.
The answer to the question must be 3.
Answer:
12 saves/ 4 games = 3 saves/ 1 game = 3 saves per game
Step-by-step explanation:
A ration is basically a division problem. Divide until you get a denominator of 1.
12/ 4 = 3/ 1
So, if he makes 12 saves in 4 games, then he makes 3 saves per game.
Lena drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles.
Answer:
13.6 gallons
Step-by-step explanation:
Miles Driven = Gallons Burnt * Miles Per Gallon
So if yo drive 20.88 miles on one gallon how many gallons does it take to drive 284 miles. This is 284/20.88 = 13.6 gallons
Whilst the numerical answer is correct the previous answer, it does not maintain the validity of the units - in which things are measured. You will see this is very important in science
What can we learn from this. As an intermediate step we have learnt that the car does 20.88 mpg, lets call it 21. So a car that has a sticker at the show room with an MPG of more than 21 will consume less gas and one that has a smaller mpg will consume more.
