A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?
Answer:
14.4
Step-by-step explanation:
Given that :
Principal = 4000
Interest (r) = 6.25% compounded annually
Calculate time, t, if final amount A = 9600
Using the compound interest formula :
A = P(1 + r/n)^n*t
A = final amount
n = number of times interest is applied per period
9600 = 4000(1 + 0.0625)^t
9600 = 4000(1.0625)^t
9600/4000 = 1.0625^t
2.4 = 1.0625^t
Take the log of both sides
0.3802112 = 0.0263289t
t = 0.3802112/0.0263289
t = 14.440811
t = 14.4 ( nearest tenth)
Solve the equation. 4(x + 5) - 4 = 4
Answer: How to solve your question
Your question is
4
(
+
5
)
−
4
=
4
4(x+5)-4=4
4(x+5)−4=4
Solve
1
Distribute
4
(
+
5
)
−
4
=
4
{\color{#c92786}{4(x+5)}}-4=4
4(x+5)−4=4
4
+
2
0
−
4
=
4
{\color{#c92786}{4x+20}}-4=4
4x+20−4=4
2
Subtract the numbers
3
Subtract
1
6
16
16
from both sides of the equation
4. Simplify
5. Divide both sides of the equation by the same term
6. Simplify
Solution
=
−
3
Step-by-step explanation: I got this from a website but i hope this helps!!!!
What is the range of h
Given that the triangles shown below are similar, what is the value of x?
D
32
40
16
20
H
48
M
P
X
L
A. 20
O
B. 10.7
O
C. 96
O D. 24
Answer:
the answer is D. 24
Step-by-step explanation:
the smaller triangle is half the size of the bigger triangle so just divide 48 by 2
the questions on a multiple-choice test each have 4 answer choices. Describe a model that you could use to simulate the outcome of guessing the correct answer to a 100 questioned test
Answer:
2
Step-by-step explanation: because u have to divide the 4 100 than the ratio 25% it would give u 2
Lourdes recorded in this table the change in her dog's weight, in ounces, each month. Which statement can be suppor by the data in the table? Change in Dog's Weight January February March April May +6 +4 -2 +1 -5
A) Lourdes dog gained weight in more months than it lost weight because there are more positive numbers than ne numbers.
B) Lourdes' dog lost weight in more months that it gained weight because the digit 5 is the greatest digit and it is a ne number.
C) Lourdes dog gained weight every month because it is getting older.
D) Lourdes dog lost weight every month because the change in May is a negative number.
Answer:
A). Lourdes dog gained weight in more months than it lost weight because there are more positive numbers then negative numbers
multiple of 2 and 5 which is 2 more than the third multiple of 6
Plz with steps..
Answer:
20
Step-by-step explanation:
the third multiple of 6 is 18
20 = 2+18
and it's also a multiple of 2 and 5
Answer:
5x2 -2
Step-by-step explanation:
when you times 2 and 5 it gives you ten when you minus it by 2 you get eight so six plus two equal to eight so that is your answer my friend
Where did the 45% come from. It states 55% in question
Answer:
is this a question......
What is an equation in point-slope form the line that passes through the point (-3,5) and (2,-3)?
Answer
Y-5=-8/5 (x+3)
Answer:
Y-5=-8/5 (x+3)
Step-by-step explanation:
Answer:
Y-5=-8/5 (x+3) good luck
Which equation could generate the curve in a graph below?
carly mowed 2 more lawns than Roco each week for 6 weeks. carly mowed a total of 18 lawns. how many did Rocco mow each week?
Answer:
Rocco mowed 1 lawn a week.
Step-by-step explanation:
If Carly mowed 18 lawns in six weeks that’s 3 lawns a week and 3-2=1.
Thus Rocco mowed 1 lawn a week.
25 points question is below
Answer:
x - 5y = 30
Step-by-step explanation:
If you subtract x from both equations, you'll get -x. If you divide -5y, you'll end up with 1/5x and 6. The intercept doesn't matter but the slopes are parallel which means they'll never intersect anyway
Find the value of x. Everything is in the photo.
Answer:
27
Step-by-step explanation:
Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.
Finding angles of the triangle:
<WYX = <XYZ - <WYZ = 180 - 4x
<XWY = <XWV - <VWY = 180 - 6x
Using the sum of angles in a triangle and substituting these values in:
180 = <X + <WYX + <XWY = 90 + (180 - 4x) + (180-6x) = 450 - 10x
270 = 10x
27 = x
We are done! I hope this helps! :)
When multiplying, the answer is negative when you:
A: multiply a positive (+) times a negative (-)
B: multiply a negative (-) times a negative (-)
C: multiply a positive (+) times a positive (+)
Step-by-step explanation:
b: multiplying a negative (-) by a negative (-)
••••••••••••••••••••••••••••••
Answer:
D. 7
Step-by-step explanation:
substitute -1 everywhere there is an x
5-2(-1) multiply
5-(-2) add
7
A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of
water, and after one hour ( t=1) , it holds 180 gallon of water.
Answer:
What is the question?
Step-by-step explanation:
Answer: The initial value is 150 and the rate of change is 30
150+30x=y
Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time
she trains, she bikes 0.5 mile farther than she did the previous time.
a) Use summation notation to write an arithmetic series to represent the total distance Melissa has biked
after she has trained n times. (2 points)
b) Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What
is the least number of times Melissa must bike for her total distance biked during training to exceed 60
miles? (3 points)
Answer:
55
Step-by-step explanation:
4. The perimeters of the rectangle and the triangle below are equal. Find the value of x.
Answer:
x=6
Step-by-step explanation:
the perimeter of the rectangle is equal to 2x + 16.
the perimeter of the triangle is equal to 3x + 10.
since they are equal now you can solve by saying 2x + 16 = 3x + 10
Now you solve for x
2x + 16 = 3x + 10
2x + 6 = 3x
6 = x
I need help with this practice sheet
I'm confused with this
End behavior is when the graph goes left or right, does it go up or down.
In this graph, when it goes left it goes up, and when the graph goes right it goes down
as x => - infinity, f(x) => Infinity
as x => Infinity, f(x) => - infinity
The leading coefficient is negative.
The degree is even.
2. The sum of two numbers is 67 and their difference is 3. Find the two numbers.
Answer:
35 and 32
Step-by-step explanation:
35 and 32
because when we add 35 and 32 then their sum is 67
when we subtract 35 and 32 then their difference is 3
I hope u understand it
A rectangular based prism has a length of
23cm, a width of 28cm, and a height of 11m.
Find its volume.
Answer:
7,084 cm^3
Step-by-step explanation:
To calculate volume you have to take all three measurements and multiply them as so: x times y times z. In this case x = 23 y = 28 and z = 11. When you multiply these 3 numbers together you will get 7,048 cm^3.
Answer:
7,084 cubic cm
Step-by-step explanation:
V = 23 x 28 x 11
ILL GIVE YOU BRAINLIEST IF YOU HELP ME
Answer:
y = (1/2) x - 2
Step-by-step explanation:
Let us consider the points (- 2, - 3) & (0, - 2)
Equation of line in two point form is given as:
[y-(-3)]/[-3-(-2)] = [x - (-2)]/[-2 - 0]
(y + 3)/(-3 +2) = (x + 2)/ (-2)
(y + 3)/(-1) = (x + 2)/(-2)
(y + 3)/(1) = (x + 2)/(2)
2(y + 3) = (x + 2)
2y + 6 = x + 2
2y = x + 2 - 6
2y = x - 4
y = (1/2) x - 2
PROCEED IN THE SAME WAY TO FIND OUT THE REMAINING FUNCTIONS.
PLZ HELP WILL GIVE BRAINLIEST
the answer is c
Step-by-step explanation:
it is because you have to times 3 and 4 and 3 and 9
Answer:
The answer is 27/ 12x - 9 = 28
Step-by-step explanation:
All you have to do is multiply 3 X 4x and gives you 12x and multiply 3 X 9 and gives you 27.
3 ( 4x - 9 ) = 28 = 12x - 27 = 28
Hope this helped.
♡(ŐωŐ人)
Laura bought some books. She spent a total of $71 after a discount of $5 off of her total purchase. Each book cost $4. How many books did she buy?
Answer:
4b-5=71
19 books
Step-by-step explanation:
b represents books, and 4 is the cost, so the cost (4•19) minus the discount (-5) equals 71 and solves the equation
Robert bough 3/4 pound of grapes and divided them into 6 equal portions.
What is the weight of each portion?
*
Answer: The answer should be 0.125
Step-by-step explanation:
Dan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£
Richard:
£
Nick:
£
Answer:
dan 14 Richard 42 nick 14
please fast tell me
Answer:
1). Option (b)
2). Option (d)
3). Option (d)
Step-by-step explanation:
Question (1)
For Pythagoras triplet,
(Largest number)² = (Number 1)² + (Number 2)²
a). 5² = 5² + 2²
25 = 25 + 4
25 = 29
Not True.
b). 5² = 3² + 4²
25 = 9 + 16
25 = 25
True.
c). 10² = 1² + 5²
100 = 1 + 25
100 = 26
Not true.
d). 2² = 2²+ 2²
4 = 4 + 4
4 = 8
Not true.
Therefore, Option (b) is correct.
Question (2)
1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{5}{5}-\frac{1}{5}[/tex]
= [tex]\frac{5-1}{5}[/tex]
= [tex]\frac{4}{5}[/tex]
Therefore, Option (d) is the answer.
Question (3)
Property of triangle → Sum of lengths of two sides of a triangle should be greater than the measure of third side.
a). 6 + 3 > 2 ⇒ 9 > 2 [True]
6 + 2 > 3 ⇒ 8 > 3 [True]
2 + 3 > 6 ⇒ 5 > 6 [False]
Triangle is not possible.
b). 2 + 8 > 3 → 10 > 3 [True]
8 + 3 > 2 → 11 > 2 [True]
2 + 3 > 8 → 5 > 8 [False]
Triangle is not possible.
c). 5.5 + 2.5 > 2.5 → 8 > 2.5 [True]
5.5 + 2.5 > 2.5 → 8 > 2.5 [True]
2.5 + 2.5 > 5.5 → 5 > 5.5 [False]
Triangle is not possible.
d). 3 + 6 > 7 → 9 > 7 [True]
3 + 7 > 6 → 10 > 6 [True]
7 + 6 > 3 → 13 > 3 [True]
These are the sides of a triangle.
Therefore, Option D is the answer.
Help if your smart plzzzzzzz
( will give 35 pts and brainliest)
Answer:
a) alternate interior angles theorem
b) OXP ≅ XOL
c) XO ≅ OX
d) reflexive property (i'm not sure about this one)
e) ΔXOP ≅ ΔOXL
f) cpctc
make sure to double check the fourth one
What is the distance between (–2 and one-half, –3) and (1, –3)?
–3 and one-half units
–1 and one-half units
1 and one-half units
3 and one-half units
Answer:
3 and 1/2 units
Answer:
3 and 1/2 units
Step-by-step explanation:
hope this helps you lol
E
If there are 13 pretzels in each cup, How many pretzels does He eat?
Answer:
Step-by-step explanation: