Answer:
7
Step-by-step explanation:
42 - 35 = 7
a deposit of $2000 is invested in an account that earns 4.5% interest. how long until your balance reaches $3000? (assume simple interest) A= P(1+r)^t
A deposit of $2000 is invested in an account that earns 4.5% interest. The duration of time before the balance reaches $3000 is 9.2 years.
From the given information;
the principal deposited amount = 2000the annual interest rate = 4.5%the amount (A) estimated in t years = 3000The time required until your balance reaches the amount of 3000 can be estimated by using the given formula;
[tex]\mathbf{A = P ( 1+ r)^t}[/tex]
[tex]\mathbf{3000 = 2000 ( 1+ \dfrac{4.5}{100})^t}[/tex]
[tex]\mathbf{3000 = 2000 ( 1+ 0.045)^t}[/tex]
[tex]\mathbf{3000 = 2000 ( 1.045)^t}[/tex]
[tex]\mathbf{3 = 2( 1.045)^t}[/tex]
[tex]\mathbf{( 1.045)^t= \dfrac{3}{2}}[/tex]
[tex]\mathbf{( 1.045)^t= 1.5}[/tex]
[tex]\mathbf{( 1.045)^t= 1.5}[/tex]
t = 9.2 years
Therefore, we can conclude that the time duration (in years) until your balance reaches $3000 is 9.2.
Learn more about simple interest here:
https://brainly.com/question/22621039?referrer=searchResults
What is 441 divided by 7 with a remainder
Answer:
63
Step-by-step explanation:
Answer:
The answer to 441 divided by 7 calculated using Long Division is:
63
0 Remainder
Step-by-step explanation:
Solve for x
6.5 (3 – 2) + 22 = 92 - 1.5 (3x + 11)
Enter your answer in the box.
X=
12+15-3
Please show me the steps cuz im very confused. I hate math and ive a test for this tomorrow
Answer:
24
Step-by-step explanation:
Add 15 to 12 which is 27 then subtract 3 from 27 which gives you 24
Answer:
it's 24
Step-by-step explanation:
first add up the 12 and 15 that equals 27 now subtract 3 that's going to be 24
HEELLLP
A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, f(x) has the entries, 3, 3, 3, 3, 3, 3. A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, g(x) has the entries, 4, 3, 2, 1, 0, negative 1.
The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x) = g(x) is true?
x =
Answer:
the answer is -1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The input value for which f(x) = g(x) is true is -1
The formula for calculating the equation of a line is expressed as:
m is the slope
b is the y-intercept
For table 1,
Get the slope:
Use the coordinate (-2, 3) and m = 0 to get the value of "b"
The required function for table 1 is f(x) = 3
For table 2:
Get the slope:
Use the coordinate (-2, 4) and m = -1 to get the value of "b"
The required function for table 2 is g(x) = -x + 2
If the function f(x) = g(x), hence:
-x + 2 = 3
-x = 3 - 2
-x = 1
x = -1
Hence the input value for which f(x) = g(x) is true is -1
Mom is splitting 54 grapes evenly between my friends and me.
If there are 9 of us, how many grapes should we each get?
Answer:
6
Step-by-step explanation:
54 divided by 9 = 6
Solve for x:
x + 9 = 18 + -2x
Answer:
x+9=18-2x
-x -x
9=18-3x
-18-18
-9=-3x
-3 -3
3=x
x=3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable and solve for x for the question “ x + 9 = 18 + -2x”.
Hope this helps :)
Find the fraction equal to 1.666
Answer: 1 2/3
Step-by-step explanation:
6
of a yard on the following play. How many more yards did the
5
One football player advances
8
of a yard on a play. Another football player advances
second player advance than the first player?
А
13
yards
56
B
C с
21
yards
1
yards
7
10
15 yards
D
MO 15
O
11:29
Answer:
Step-by-step explanation:
B=brackets
i= indices
D= division
M=multiplication
A= addition
S= subtraction
7x10000/5x100/6x1
7x10000=70000/500/6
70000/500=140/6= 23.33
Let Q be in the interior of angle POR . Use the Angle Addition Postulate to solve for x. Find the measure of each angle.
angle POQ=(1/3x + 1/3)°
angle QOR=(2x+ 4/3)°
angle POR=(5x-1)°
Answer:
X=1
POQ= 1/3x+1/3= 1/3(1)+1/3=2/3
QOR= 2x +4/3= 2(1)+4/3= 10/3
POR= 5x-1= 5(1)-1= 4
Step-by-step explanation:
The time it takes for an object dropped from a height to reach the ground is given by the function time (in seconds) =(1/4)√h where h is the initial height in feet. If an object dropped from a building takes 4 seconds to reach the ground what is height of the object was dropped from, to the nearest foot?
Answer:
256 ft
Step-by-step explanation:
Assuming f(t)=(1/4)√h, we can solve for h by setting 4=(1/4)√h.
4=(1/4)√h
16=√h
h= 16^2 =256 ft
Step-by-step explanation:
h = (4 ÷ ¼)²
h = (4 × 4)²
h = 16² = 256ft
a regular pentagon is divided into 5 isoscleles triangles work out the size of angle x angle y angle z
x = 72
y = 54
z = 54
================================================================
The regular pentagon has all five sides the same length. It also has all interior angles the same measure. This leads to y = z. These two angles are the congruent base angles of the isosceles triangle. The base angles are opposite the congruent sides.
The fact that we have a regular pentagon also means that the five triangles shown are identical copies of one another (i.e. they are congruent triangles). Divide the full 360 degree rotation into 5 parts to get 360/5 = 72, which represents the measure of the central angle x.
--------------
For any triangle, the three angles always add to 180. This means,
x+y+z = 180
72+y+z = 180 .... plug in x = 72
72+y+y = 180 ... recall that y = z
2y+72 = 180
2y = 180-72
2y = 108
y = 108/2
y = 54, which is also the measure of angle z as well
--------------
As a quick check,
x+y+z = 72+54+54 = 180
which helps confirm the answer.
Plz help it’s due tonight!!!
The picture below shows how to solve for the missing values and what each variable is equal to.
how many 5 digit numbers can be formed using all the digits 1, 2, 3, 4, and 5, such that the number is odd and greater than 40000?
Answer:
25
Step-by-step explanation:
Find each side of the triangle if the perimeter is 46
2x + 6
2(x – 4)
x + 3
Answer:
s+s+s =p
2x+6+2(x-4)+x+3=p
2x+ 6 + 2x-8+x+3=p
1,2,7,10,13,18,20,28,31,38-46 even,76 evaluate only except 38 t0 46 name property
Answer:
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i know its easy but i forgot how to do this pls heeeelp me
Answer:
First number line: 3rd line from 0
Second number line: 7th line from 0
(Sorry if I explained it kinda weird, hope this helps!)
Step-by-step explanation:
On the first number line, you would put the dot on the 3rd line from zero. From 0 to one, it's split into 5 equal parts. 0 is 0/5 and 1 is 5/5. So all you do is plot the dot on 3/5, or the 3rd line from 0.
Same thing with the second number line. Except for this time, it's split into 8 equal parts. Just count to the 7th line in between 0 and 1 and plot the dot.
Triangles ABC and DEF are similar triangles. What are the lengths of the unknown sides?
A) DF = 65 cm; DE = 25 cm
B) DF = 39 cm; DE = 15 cm
C) DF = 52 cm; DE = 48 cm
D) DF = 48 cm; DE = 52 cm
Answer:
C
Step-by-step explanation:
5x4=20 that gives u an idea to multiple triangle ABC to 4 to get DEF since they are similar triangles
Answer:
C
Step-by-step explanation:
Multiply 5 by 4 to get FE=20 then multiply each side by 4
Helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp pls
Answer: D
Step-by-step explanation:
Break up the equation and you get 2x + 14 - 7 = 2x - 7 aka the same equation
The volume of a cylinder, (ℎ), is given by the area of the base times the height, ℎ. The base of the cylinder shown below has a diameter of 5 inches. Write the function, (ℎ), that represents the volume of the cylinder. No spaces. ^use for exponents. 3.14 for pi. All lowercase letters. *
Answer:
(h)=h*19.625
Step-by-step explanation:
start by dividing the diameter by 2 to get the radius:
radius=2.5
the area of a circle is calculated with the formula pi*r^2
solve using our radius to get the area:
area of base= 19.625
using this, we can get our function:
(h)=h*19.625
I believe that it’s c, but I’m
not certain… Can someone help me out?
Answer:
Yes, the answer is C {3,5,7}
Domain of a function is the input value and range is the result or output value that we get.
Help me solve this evaluating expression
[tex] - 1 - 2(9) = - 1 - 18 = - 19[/tex]
Find the slope and y-intercept for the graph of the equation.
9x + 4y = 8
Answer:
slope= - 9/4 yintercept 0,2
Step-by-step explanation:
Answer:
slope = - [tex]\frac{9}{4}[/tex] , y- intercept = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x + 4y = 8 ( subtract 9x from both sides )
4y = - 9x + 8 ( divide terms by 4 )
y = - [tex]\frac{9}{4}[/tex] x + 2 ← in slope- intercept form
with slope m = - [tex]\frac{9}{4}[/tex] and y- intercept c = 2
When Making bread from scratch the recipe calls for 3/4 cup of water if you need to make a smaller portion of the recipe how much water would you need in order to make only 1/6 of the recipe
) y = 2x - 4
y = -3x + 1
Answer:
I think x = -8. Hope this helps!! :)
Bella is going to invest $94,000 and leave it in an account for 9 years. Assuming the interest is compounded daily, what interest rate, to the nearest hundredth of a percent, would be required in order for Bella to end up with $156,000?
Answer:
8.8420
Step-by-step explanation:
NEED ANSWERS QUICK! WILL MARK BRAINLIEST!
What is the m 12 in matrix M?
M = 8 7 4
2 0 5
a) 2
b) 7
c) 5
d) 4
Determine the slope of this graph. Please get right. And ill add extra points.
Answer:
1/2
Step-by-step explanation:
Slope is the rise over the run. This means the difference in the y values over the difference in the x values.
The two points on the graph are (2,-2) and ( -6, -6 ).
The difference in the y values is a total of 4 units.
The difference in the x values is a total of 8 units.
The slope would then be 4/8 which simplifies to 1/2.
The line slants upward from left to right so the slope is positive.
can someone pls tell me what 3/7 times negative 9/5
Answer:
-27/35, and the decimal answer -0.77142857142
Step-by-step explanation:
multiply the fractions- 3 x 9 equals 27, 7 x 5 equals 35. The answer is negative.
Allowing 16 % discount on the marked price of a television and levying 13 % VAT, a buyer has to pay Rs 18,984 to buy it. Find the marked price of the Television.
let marked price be 100x
16% discount , sale price = 84x
13% VAT = 13/100 *84x= 10.92x
ADD 94.92x = Rs 9492
10.92x = Rs 1092 ANSWER