Answer:
A
Step-by-step explanation:
simple interest (I) is calculated as
I = [tex]\frac{PRT}{100}[/tex]
P is the principal. R the rate of interest and T the time in years
Here P = 880000, R = 3.5 and T = 2.5 , then
I = [tex]\frac{880000(3.5)(2.5)}{100}[/tex]
= 8800 × 3.5 × 2.5
= 77000 → A
Question 6 of 10
How much would $500 invested at 6% interest compounded monthly be
worth after 5 years? Round your answer to the nearest cen
(0) - P(144
A $674,43
B. $886,41
C, 5669.11
D. $512,68
9514 1404 393
Answer:
A. $674.43
Step-by-step explanation:
The account balance is given by ...
A = P(1 +r/12)^(12t) . . . . . principal P invested at annual rate r for t years
A = $500(1 +0.06/12)^(12·5) = $500(1.005^60)
A ≈ $674.43
Gary's income and expenses in a month are 4,000 and 3,360 respectively.
a) What percentage of his income are expenses?
b) What percentage of his income is savings?
(SHOW YOUR WORK!)
Answer:
84%
Step-by-step explanation:
3360/4000=.84
.84=84%
v=u + 2at
Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the
acceleration (in m/s?) and t is the time in seconds).
Find v when u is 35 m/s, a is 28 m/s2, and t is 58 seconds.
Answer:
3283m/s
Step-by-step explanation:
V=U+2at
V=35+2(28)(58)
V=35+3248
V=3283m/s
Is this true or false
Answer:
I say it's TRUE
Step-by-step explanation:
I hope this help you
Help please…
If (tan^30-1/tan0-1)-sec^20+1=0, find cot0
Answer:
dl5fgtrrfhrruf ofender fkufgj jjgglr
expand this question (x+5)(x-3)
Full working out for these questions please.
First question is the first attachment and the second question is the second attachment.
Answer:
c,
Step-by-step explanation:
a line has slope 3 and y-intercept 4
Answer:
y = 3x+4
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 3x+4
Line r is parallel to line c.
Answer:
I think ∆5 is the correct Ans
Are all numbers natural numbers
Suppose f(x)=x^3 what is the graph of f(x+3)
Answer:
[tex]f(x + 3) = {(x + 3)}^{3} [/tex]
Shifted left with x-intercept at (-3,0) and the y-intercept at (0,27)
Given m||n, find the value of x.
+
mm
(6x+4)
(4x-14)
Answer:
Submit Answer
attempt out of 2
Answer:
x = 19
Step-by-step explanation:
6x+4 + 4x - 14 = 180
10x - 10 = 180
10 X = 190
x = 19
find the length of a side and perimeter of square those area is 256 square
Answer:
x2 = 256; 16 m
Step-by-step explanation:
Let x= the length of the side ofthe square. So an equation tomodel this problem is x2=256.x2xx===256256⎯⎯⎯⎯⎯⎯√± 16The side of a square with an areaof 256 m2 is 16 m.
The cost price of a box and a pen is Rs 120. The box is sold at 10% profita the pen is sold at 10% loss. If the selling price of the box is Rs 52 more than of the pen, calculate the profit or loss percent in the whole.
Answer:
3.803% Profit
Step-by-step explanation:
First let us calculate total sales, then calculate the total cost, and then divide the two.
Sale: 120*1.1=132 and 52*.9=46.8
Cost: 120 and 52
Profit equation:
[tex]\frac{Net sales-COGS}{Net Sales} =Profit[/tex]
[tex]\frac{(132+46.8)-(120+52)}{(132+46.8)}[/tex]
Simplify:
[tex]\frac{6.8}{178.8} =.03803[/tex] or 3.803% Profit
Choose the inequality that could be used to solve the following problem.
Three times a number is at most negative six.
A. 3x ≥ -6
B. 3x < -6
C. 3x > -6
D. 3x ≤ -6
find the range. 130,131,132,134,135136,137,138,139,141,142,143,144,146,148,146,149,158,169
Answer:
The answer is 12
Step-by-step explanation:
The range is the difference between the lowest and highest values. In this case, this means 142 - 130 which equals 12.
Answer:
12
Step-by-step explanation:
Range = Largest number - Smallest number
Larger number = 142 ; Smallest number = 130
142-130 = 12
Range = 12
Explain how to solve 5^(x-2)= 8 using the change of base formula
Answer:
x = 3.3
Step-by-step explanation:
A equation is given to us and we need to solve out for x. The given equation is ,
[tex]\sf\longrightarrow 5^{x -2}= 8 [/tex]
Take log on both sides with base as " 10" . We have ,
[tex]\sf\longrightarrow log_{10} 5^{x-2}= log_{10}\ 8[/tex]
Simplify using the property of log , [tex]\sf log a^m = m log a [/tex] , we have ,
[tex]\sf\longrightarrow ( x -2) log_{10} 5 = log_{10} 8 [/tex]
Simplify ,
[tex]\sf\longrightarrow ( x -2 ) log_{10}5 = log_{10} 2^3[/tex]
Again simplify using the property of log ,
[tex]\sf\longrightarrow (x-2) log 5 = 3 log 2[/tex]
We know that log 5 = 0.69 and log 2 = 0.301 , on substituting this , we have ,
[tex]\sf\longrightarrow ( x - 2 ) = \dfrac{ 3\times 0.301}{0.69}[/tex]
Simplify the RHS ,
[tex]\sf\longrightarrow x - 2 = 1.30 [/tex]
Add 2 both sides ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = 3.30}}[/tex]
Hence the Value of x is 3.30 .
Answer:
its actually 3.292 because we round to the nearest thousandth and thats not even the equation you use above
Step-by-step explanation:
For this equation we use the formula log a^m=m (log a) so the equation will be written as log 5 (5^x-2) = log 5 (8). You use the base, which is 5, and use log to base 5 on both sides of the equation. Then you take the exponent " x-2" and write( x-2) log 5 (5) = log 5(8). Since log a =1, you multiply that 1 by x-2, which keeps it x-2. Making the equation x-2 = log 5 (8). Next, we use the change of the base properties with the formula log b^y= log y/ log b. The equation will be written as x-2 = log 8/ log 5, since 5 is the base it stays in the bottom or basement. We then add +2 to both sides of x-2 and log 8/ log 5. To solve this equation, you can find out what log 8 and log 5 are and divide those and add +2 to solve. So log 8 = 0.903 and log 5 = 0.698970 and divide those to get 1.29190 +2 and you get the answer rounded as 3.292.
An American sausage is 4/3 inches long. How many pieces of sausage can be cut from the 4/3 inch piece of sausage if each piece is two-thirds of an inch?
Answer:
2 Pieces can be cut
Step-by-step explanation:
We know that our sausage is 4/3 inches and we want to know how many 2/3 pieces can be cut. we start by examining our fractions.
4/3 & 2/3, since they have the same denominator we can simply divide the total length by how big each cut should be!
4/3 ÷ 2/3 = 2
What makes a trapezoid an isosceles trapezoid
Answer:
A trapezoid is a quadrilateral with exactly one pair of parallel sides. A pair of angles that share a base as a common side are called a pair of base angles. A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid.
a) Arrange the following numbers so that the sum of any two neighbouring numbers is a perfect square.
7 , 11 , 9 , 14 , 16 , 2 , 25
Ex. 3+6 = 3^2 and 6+10 = 4^2
b) Find a way to arrange all of the intervenes from 1 to 17 to a list with the property from part a)
I'll do part (a) to get you started.
One possible answer to part (a) is 25,11,14,2,7,9,16
There are likely other possible answers.
The explanation is below.
==============================================================
Let's say 7 is the anchor value and we want to see which values could be its next door neighbor.
It can't be 11 since 7+11 = 18 isn't a perfect square.But 9 works because 7+9 = 16 is a perfect square (4^2 = 16)14 doesn't work because 7+14 = 21 isn't a perfect square16 doesn't work either since 7+16 = 23 isn't a perfect square2 however does work since 7+2 = 9 is a perfect squareLastly, 25 won't work because 7+25 = 32 isn't a perfect squareTo summarize this subsection, the anchor value 7 could have the neighbors 9 and 2.
So we could have 2,7,9 or 9,7,2 as a subsequence. We'll keep this in mind for later.
------------------------------------------------
Now we'll make 11 the anchor. We already checked 7 and it doesn't work.
9 doesn't work either because 11+9 = 20 isn't a perfect square
11+14 = 25 does work11+16 = 27 doesn't work11+2 = 13 doesn't work11+25 = 36 does workOf that list, only 14 and 25 are possible neighbors of the anchor value 11.
So we could have the subsequence 14,11,25 or 25,11,14.
------------------------------------------------
If 9 is the anchor, then,
9+7 = 16 works like we found earlier (section 1)9+11 = 20 doesn't work9+14 = 23 doesn't work9+16 = 25 does work9+2 = 11 doesn't work9+25 = 34 doesn't workThe values 7 and 16 are possible neighbors of 9. We could have the subsequence 7,9,16 or 16,9,7
Let's go back to the subsequence 2,7,9 and tack 16 at the end to get 2,7,9,16
------------------------------------------------
If 14 is the anchor, then,
7 doesn't work because 14+7 = 2111 does work either because 14+11 = 259 doesn't work because 14+9 = 2316 doesn't work because 14+16 = 302 does work because 14+2 = 1625 doesn't work since 14+25 = 39We could have the subsequence 11,14,2 or 2,14,11
Let's go with the first option and stick "11,14,2" in front of "2,7,9,16" to end up with the larger subsequence 11,14,2,7,9,16
We can then stick 25 at the front because 25+11 = 36 is a perfect square.
------------------------------------------------
So one possible sequence of values is 25,11,14,2,7,9,16
Here's the verification
25+11 = 36 is a perfect square (6^2 = 36)11+14 = 25 is a perfect square (5^2 = 25)14+2 = 16 is a perfect square (4^2 = 16)2+7 = 9 is a perfect square (3^2 = 9)7+9 = 16 is a perfect square (4^2 = 16)9+16 = 25 is a perfect square (5^2 = 25)Each pair of adjacent terms add up to a perfect square, so the answer is confirmed.
There are probably other solutions as well.
Side note: The video math channel "Numberphile" has a video discussing this topic in which you might be interested in. Search out "The square sum problem" with quotes (the presenter/teacher in the video is Matt Parker).
Answer:
25, 11, 14, 2, 7, 9, 16.
Step-by-step explanation:
25 + 11 = 6^2
11 + 14 = 5^2
14 + 2 = 4^2
2 + 7 = 3^2
7 + 9 = 4^2
9 + 16 = 5^2
Please solve this problem 9p-10=6+p?
Answer:
p=2
Step-by-step explanation:
9p-10=6+p
Subtract p from each side
9p-p-10=6+p-p
8p -10 =6
Add 10 to each side
8p -10+10 =6+10
8p =16
Divide each side by 8
8p/8 = 16/8
p =2
Answer:
p = 2
Step-by-step explanation:
1. 9p - 10 = 6 + p
2. 8p - 10 = 6
3. 8p = 16
4. p = 2
hi these are geometry questions, :)
========================================================
Explanation:
For any inscribed quadrilateral like this, the opposite angles are always supplementary. This means the angles add to 180
B+D = 180
(2x-1) + (3x-59) = 180
(2x+3x) + (-1-59) = 180
5x-60 = 180
5x = 180+60
5x = 240
x = 240/5
x = 48
Use this x value to find angle A
A = 2x+4
A = 2*48+4
A = 96+4
A = 100
This then means,
A+C = 180
C = 180-A
C = 180-100
C = 80 degrees
Side note: The term "cyclic quadrilateral" is the same as "inscribed quadrilateral".
Which digit in 123.456 has highest value?
Digit
6
5
4
1
Which digit in 123.456 has highest value?
answer = 1....
Answer:
1
Step-by-step explanation:
The 1 is in the hundredth's place and it has the highest value
A cash register at a store contains $277 bills. There are six more $5 bills than $10 bills. The number of $1bills is two more than 24 times the number of $10 bills. How many bills of each kind are there
Answer: See explanation
Step-by-step explanation:
Your question isn't well written, the store contains $227 and not $277.
let c be the number of $1 bills
let f be the number of $5 bills
let t be the number of $10 bills.
Therefore, the equation will be:
1c + 5f + 10t = 227
Since there are six more $5 bills than $10 bills, therefore,
f = t+6
Also, the number of $1 bills is two more than 24 times the number of $10 bills and this will be:
c = 24t + 2
Now, we substitute the equation for f and c into the main equation and this will be:
1c + 5f + 10t = 277
1(24t + 2) + 5(t + 6) + 10t = 227
24t + 2 + 5t + 30 + 10t = 227
39t + 32 = 227
39t = 227 - 32
39t = 195
t = 195/39
t = 5
Therefore, there are 5 $10 bills
Since c = 24t + 2
c = 24(5) + 2
c = 120 + 2
c = 122
Therefore, there are 122 $1 bills
Since f = t+6
f = 5+6
f = 11
Therefore, there are 11 $5 bills.
Fill the empty slots by dragging tiles from the left to show the next step for sloving the equation solve the two step equation negative nine and a mumber plus zero point four equals to four
Step-by-step explanation:
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y.krgkyfjfhcxhhhxhhxfucuchhcjvgjjgvjvkvkx
There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is
replaced.
Another marble is taken at random.
What is the probability of exactly 1 red?
Answer:
25%
Step-by-step explanation:
4+3+5=12
3/12 ×100=25
Complete table of values
Step-by-step explanation:
here's the answer to your question
what is 3^-8 x 3^-4 x 3^-2
Answer:
Value of given expression is 3⁻¹⁴
Step-by-step explanation:
Given expression:
3⁻⁸ x 3⁻⁴ x 3⁻²
Find:
Value of given expression
Computation:
⇒ 3⁻⁸ x 3⁻⁴ x 3⁻²
⇒ 3[⁻⁸⁻⁴⁻²]
⇒ 3⁻¹⁴
Value of given expression is 3⁻¹⁴
Can someone help me with this math homework please!
9514 1404 393
Answer:
7/3-3y = 7/3x - 3Step-by-step explanation:
1) The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-3))/(3 -0) = 7/3
__
2) The y-intercept is the point where x=0:
(x, y) = (0, -3) . . . . . y = -3
__
3) Then the slope-intercept equation is ...
y = mx + b . . . . . . . line with slope m and y-intercept b
y = 7/3x -3
Find the center and radius of the circle whose equation is x 2 + y 2 - 6x - 2y + 4 = 0
Answer:
[tex]{ \tt{ {x}^{2} + {y}^{2} - 6x - 2y + 4 = 0 }} [/tex]
Center:
[tex]{ \tt{(3, \: 1)}}[/tex]
Radius:
[tex]{ \tt{radius = \sqrt{ {g}^{2} + {f}^{2} - c } }} \\ = \sqrt{36 + 4 - 4} \\ = 6 \: units[/tex]