[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$950\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ t=years\dotfill &10 \end{cases} \\\\\\ A=950e^{0.042\cdot 10}\implies A=950e^{0.42}\implies A\approx 1445.86[/tex]
AM LACKING TIME
What operation would you use for your exponents when raising a power to a power
a
Division
b
Addition
c
Subtraction
d
Multiplication
Answer:
d multiplication
pls give me the correct answer and solution
due date : 1:30pm
Answer:
where's the question?
Step-by-step explanation:
carry on laern
HELP WILL GIVE CROWN
Answer:
When dividing with same base and different exponents, you need to subtract the exponents.
[tex]7^8/7^4\\= 7^8^-^4\\= 7^4[/tex]
Answer: C
Step-by-step explanation: 7^8= 5764801. And 7^4 = 2401. 5764801/2401 = 7^4
exercise have benenfit when?
Answer:
when u have a proper balance of diet also
Answer:
Exercise is a benefit when you are not eating very healthy and you may think your fat. It's good to exercise because then you can get more fit and fell better about your body and what you eat.
Step-by-step explanation:
You start driving north for 6 miles, turn right, and drive east for another 19 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer:
Okay, here's the method I'm going to use.
If you drive north 6 miles, and then drive east 19 miles, you are technically making a triangle.
19 miles
l_______________
6 milesl
l
You are just missing the last side of the triangle: the straight line stretching from across your starting point to the ending point. You can find this by using the Pythagorean theorem.
a^2 + b^2 = c^2
6^2 + 19^2 = c^2
36 + 361 = c
397 = c
[tex]\sqrt{397}[/tex] = 19.924859
Rounded to the nearest tenth, your answer is
19.9 miles
8 increased by twice Goran's age
Use the variable g to represent Goran's age.
Answer:
8+2g
Step-by-step explanation:
The length of a rectangle is 5 more than twice the width. If the perimeter of th
rectangle is 34, what is the length?
The length of a rectangle is 5 more than twice the width. If the perimeter of the rectangle is 34 cm find the length?
Explanation -:In this question we are provided with the perimeter of the rectangle = 34 cm and it is given that the length of the rectangle is 5 more than the twice it's breadth and asked to find out the length of the rectangle.
[tex] \small \orange{ \underline{\rm \blue{length \: of \: a \: rectangle \: is \: 5 \: more \: than \: twice \: the \: width.}}}[/tex]
Let us assume breadth as x then length = 2x +5
We know,
[tex] \star \: \large\boxed{ \rm{ Perimeter_{(rectangle)} = 2(length + breadth)}}[/tex]
Substituting the values we get
34 = 2(2x +5 + x)
→ 34 = 2(3x + 5)
→ 34 = 6x + 10
→ 34 - 10 = 6x
→ 24 = 6x
→ [tex]\dfrac{24}{6}[/tex] = x
x = 4
Length = 2x + 5 = 2 × 4 + 5 = 8 + 5 = 13 cm
Breadth = x = 4cm
Length = 13 cm.
4 (3r+4) = -8 (2r+5)
Answer:
-2
Step-by-step explanation:
Open the brackets on both sides
12r + 16 = -16r - 40
collect like terms
12r + 16r = -40 - 16
28r = -56
r = -56/28
r = -2
What is the median of this Box and Whisker plot? A) 40 B) 48.5 C) 37 D) 53.5
Answer:
40
Step-by-step explanation:
The middle dot of the box is the median.
Answer:
the median is 44.75
Step-by-step explanation:
first i add up all the numbers
40+37+48.5+53.5=175
then i divide them by how 4
179 divided by 4=44.75
I need help
a)104
b)128
c)120
d)74
e)87
Answer:
m∠JTS = 104° ⇒ (A)
Step-by-step explanation:
The measure of an exterior angle of a triangle at one of its vertices equals the sum of the measures of the opposite interior angles.
Let us use this fact to solve the question
In ΔTSR
∵ T ∈ ray RJ
∴ ∠JTS is an exterior angle of ΔTSR
→ By using the fact above
∴ ∠TSR and ∠TRS are the opposite interior angles to ∠JTS
∴ m∠JTS = m∠TSR + m∠TRS
∵ m∠JTS = 27x - 4
∵ m∠ TSR = 30°
∵ m∠TRS = 18x + 2
→ Substitute their values in the equation above
∴ 27x - 4 = 30 + 18x + 2
→ Add the like terms in the right side
∴ 27x - 4 = 18x + 32
→ Add 4 to both sides
∴ 27x = 18x + 36
→ Subtract 18x from both sides
∴ 9x = 36
→ Divide both sides by 9
∴ x = 4
→ To find m∠JTS substitute x by 4 in its measure
∴ m∠JTS = 27(4) - 4 = 108 - 4
∴ m∠JTS = 104°
need help with geometry problem
Answer:
d. KL LM MK
Step-by-step explanation:
side opposite to the smallest angle is the shortest side and the side opposite to the largest angle is the longest side.
57 + 64 = 121
180 - 121 = 59
angle K is 59 degrees
onlinemath4allcom
What is the distance between (-2,1) and (-1,2) on a coordinate plane
Answer:
√2 or 1.414
Step-by-step explanation:
the distance between two points
Select all of the expressions which correctly show how to convert 18 inches into yards
Please help! 15 Points!
Answer:
Option C and D
Step-by-step explanation:
2π/3 refers 120°which falls in the second quadrant. In second quadrant sin value is positive and tan & cos value is negative.
tan 120 = - tan 60 = -√3
How do I find the slope point equation of this when I only have (4,-2) and no slope?
Answer:
B
Step-by-step explanation:
k(t) = 13t-2k(t)=13t−2k, left parenthesis, t, right parenthesis, equals, 13, t, minus, 2
k(3)=k(3)=k, left parenthesis, 3, right parenthesis, equals
Answer:
Step-by-step explanation:
right parenthesis, equals, 13, t, minus, 2 so think about it when you divide
k(t) = 13t-2k(t)=13t−2k then your answer would maybe be k=134
Answer:
The answer is 39 -2k
Step-by-step explanation:
The radius of a circle is 5 miles. What is the length of a 135° arc?
Answer:
75
Step-by-step explanation:
an arc is half a circle
which algebraic expression represents the number of cups of dog food per week needed to feed 3 dogs if each dog eats x CUPS per day
A 7+3x
B 7(3x)
C 7x
D 21÷x
What is the solution of the equation 6x - 4 = 2(3x - 2). Explain your steps.
Answer: x= 4/3 but in decimal form =1.333
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4-(2*(3*x-2))=0
4 - 2 • (3x - 2) = 0
Pull out like factors :
8 - 6x = -2 • (3x - 4)
Solve : 3x-4 = 0
Add 4 to both sides of the equation :
3x = 4
Divide both sides of the equation by 3:
x = 4/3 = 1.333
Answer:
x= undefined
Step-by-step explanation:
In order to make u understand , if u multiply 2(3x-2) it becomes 6x-4 which is the exact same as the left hand side . Therefore u cant find x from here in this manner .
For this however we can try the method bellow .
Lets say f(x)=y=6x-4=2(3x-2)
we can get the followig points for inserting domains and finind the domains . we can make graph for each . (We will not do them however)
As we have seen that both of those parts of the equation are one and the same so they will produce the exact same Line or curve .
Therefore every signle points on them r the same exact points and there fore they are the same exact line .
So the value of x is undefined and can be anything between every points on that line (Which can be infinit amounts of points) .
Emma buys a house for £300,000. She sells the house for £315,000. Calculate the percentage profit Emma makes
She buys it for £300,000 and sell it for £315,000 -> she profits £15,000.
So, the percentage profit Emma makes is : 15,000 : 300,000 = 0.05 -> 5%.
Answer:
5%
Step-by-step explanation:
300000 = 100%
1% = 300000 ÷ 100 = 3000
She made 15000
15000 ÷ 3000 = 5%
Answer please ????
Answer:
[tex]\mathsf{\cos T=\dfrac{28}{53}}[/tex]
Step-by-step explanation:
[tex]\mathsf{\cos(\theta)=\dfrac{adjacent\ side}{hypotenuse}}[/tex]
[tex]\implies \mathsf{\cos T=\dfrac{28}{53}}[/tex]
A side of the triangle below has been extended to form an exterior angle of 161°. Find the value of x.
Answer:
111
Step-by-step explanation:
180-161=19
19+50=69
180-69=111
Answer:
x=111°..............
What is the solution of (4 x minus 16) Superscript one-half Baseline = 36? x = 5 x = 13 x = 20 x = 328.
The solution of the given equation [tex](4x-16)^{1/2} = 36[/tex] is 328.
The given equation is:
[tex](4x-16)^{1/2} = 36[/tex]
What is solution of an equation?The solution of an equation is to find out the numeric value of the variable such that Left-hand side and Right-hand side becomes equal.
Squaring both sides of the given equation.
[tex][(4x-16)^{1/2} ]^2= (36)^2[/tex]
[tex]4x-16 = 36^{2}[/tex]
[tex]4x -16 =1296[/tex]
[tex]4x =1296+16[/tex]
[tex]4x = 1312[/tex]
x= 328
Therefore, The solution of the given equation [tex](4x-16)^{1/2} = 36[/tex] is 328.
To get more about equations visit:
https://brainly.com/question/9423572
9. Rusty can ride his bicycle 21 miles in 3 hours. Find the unit rate of the
situation. *
O A. 7 hours per mile
O B.6.7 miles per hour
O C.63 miles per hour
D. 7 miles per hour
Rate = distance / time
Rate = 21 miles / 3 hours
Rate = 7 miles / hour
The answer is choice A. Hope this helps.
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Answer:
x = 33°
explanation:
The interior angles sum up to 180°
solve:
x + 20° + 4x - 5° = 180°
x + 4x + 20° - 5° = 180°
5x + 15° = 180°
5x = 180° - 15°
5x = 165°
x = 33°
Answer:
x = 33
Step-by-step explanation:
Sum of consecutive interior angles = 180°
⇒ (x + 20) + (4x - 5) = 180
⇒ 5x + 15 = 180
⇒ 5x = 165
⇒ x = 33
multi step equation 3x+3-x+12=x+5
Answer:
x= -10
if u need explanation pls let me know
calculate the rate of change from the graph below
Answer:
The rate of change is 0.75 gallons per minute
Step-by-step explanation:
The rate of change of the linear relation is represented by the slope of the line which represents this relation
The rule of the slope of a line is
m = Δy/Δx, where
Δy is the vertical changeΔx is the horizontal changeFrom the given graph
∵ The line passes through points (0, 0) and (4, 3)
∴ Δx = 4 - 0 = 4
∴ Δy = 3 - 0 = 3
→ Use the rule of the slope above to find the slope of the line
∴ m = [tex]\frac{3}{4}[/tex] = 0.75
∵ The x-axis represents the time in minutes
∵ The y-axis represents the amount in gallons
∵ m represents the rate of change
∴ The rate of change = 0.75 gallons per minute
Susan walked 1 2/3 miles in 1 1/4 hours how many miles Susan walked in 1 hour
Answer: 3/4 of a mile
Step-by-step explanation:
Find the equation of a line that passes through the point (-3,-1) and has a gradient of -2. Leave your answer in the form y = m x + c
Answer:
Step-by-step explanation:
y-y1 = m (x-x1), where (x1,y1) is the point the line passes through and m is the slope
y-(-1) = 2 (x-3)
y+1 = 2x - 6
Jane is helping the librarian stack books on some new shelves. She is to stack 116 books on 16 shelves. The librarian told her to put the same number of books on each of the 16 shelves. Describe a different way that Jane can use to determine the number of books she should put on each shelf.
Answer: The number of books she should put on each shelf = 7
Step-by-step explanation:
Given: Total books = 116
Total shelves = 16
To determine : The number of books she should put on each shelf, we first divides the total number of books by the total shelf.
[tex]116\div 16=7\dfrac14[/tex]
So she can put 7 books in each shelf such that (7x16=) 112 books got placed and (116-112=)4 books left.
Hence, The number of books she should put on each shelf = 7.