Answer:
Circumference of circle = π x Diameter of circle
Step-by-step explanation:
If you know the diameter or radius of a circle, you can work out the circumference. To begin with, remember that pi is an irrational number written with the symbol π. π is roughly equal to 3.14. The formula for working out the circumference of a circle is: Circumference of circle = π x Diameter of circle
Santiago has $6000 spread across his 3 accounts. He has a checking account which pays 2% interest, a savings account that pays 5% interest, and a money market account which pays 7% interest. At the end of 1 year, he earned a total of $355 in interest. If he put $2300 less in his savings accout than his money market account. Find how much money Santiago put into each account
Answer:
Santiago put $700 into a checking account, $1,500 into a savings account and $3,800 into a money market account.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y+z=6000 (1)
0.02x+0.05y+0.07z=355 (2)
y=z-2300 (3)
First, you have to replace (3) in (1) and (2):
x+z-2300+z=6000
x+2z=8300 (4)
0.02x+0.05(z-2300)+0.07z=355
0.02x+0.05z-115+0.07z=355
0.02x+0.12z=470 (5)
Now, you have 2 equations:
x+2z=8300 (4)
0.02x+0.12z=470 (5)
Then, you can solve for x in (4):
x=8300-2z (6)
After this, you have to replace (6) in (5):
0.02(8300-2z)+0.12z=470
166-0.04z+0.12z=470
0.08z=304
z=3800
Now, you can replace z in (6) to find x:
x=8300-2(3800)
x=700
Finally, you can replace z in (3) to find y:
y=3800-2300
y=1500
According to this, the answer is that Santiago put $700 into a checking account, $1,500 into a savings account and $3,800 into a money market account.
PLEASE ANWSER ASAP
A wall measures 13.2 feet by 8.14 feet. What is the PERIMETER of the wall using the correct number of SIGNIFICANT DIGITS?
Answer:
43.8
Step-by-step explanation:
Rashawn puts $550 in an account earning 8% simple interest annually. How much will he have in his account after 6 years? i need help please
There are 78 students in 4th grade and there are 39 girls. Using the later b to represent the boys
Answer:
78/2=39 so 39 boys and 39 girls :)
Step-by-step explanation:
What is the order of operations that should be used to evaluate this expression?
3(4 + 7) -5x4
Answer:
The first option +,x,x, -
Step-by-step explanation:
two irrational numbers between 0 and 1
Answer:
1/3 and 2/3
Step-by-step explanation:
1/3= 0.33333333 (which is an irrational number)
2/3= 0.666666 (which is also an irrational number)
An irrational number is where the decimal never ends.
So 1/3 and 2/3 are irrational numbers.
Evaluate 7-2k-6n when k= -3 and n= -6
Answer:
49
Step-by-step explanation:
Step 1:
7 - 2k - 6n Equation
Step 2:
7 - 2 ( - 3 ) - 6 ( - 6 ) Substitute
Step 3:
7 + 6 + 36 Multiply
Answer:
49 Add
Hope This Helps :)
Indicate whether the lines are parallel, perpendicular, or neither. Justify your
answer.
a. Y = −3x − 1 and 12x = 4y + 7
b. X− 7y= 10 and 2x+ 14y= 21
dsdadasdasdwe..
NYC Myths vs. Fact.
Cpinion why plast.
Spies
Now, what are the five factors of 16?
Type the factors in increasing order.
Given parameters:
The value given is 16
Problem is to find the factors of 16
A factor is any number that divides another number into equal parts without any remainder.
For 16, the factors are:
1 , 2 , 4 , 8 and 16
These numbers will divide 16 into equal parts. A number is a factor of itself.
1 is a factor of any number.
So, the five factors of 16 are 1, 2, 4, 8 and 16
sam needs to memorize words in a vocabulary list for spanish class he has memorized 30 of the words which is five - sixths of the list how many words are on the list?
I believe that the answer is 36.
How does sin 30 degrees compare to sin -30 degrees
Answer:
one is negative mate and another is not, one is 30 lad and one is n- i mean is also 30
Step-by-step explanation:
Anyone know how to do this?
Which table has a constant of proportionality between Y and X of 3/4
Answer:
Table A
Step-by-step explanation:
The constant of proportionality is the ratio of y to x.
A: 6/8 = 3/4 . . . . this is the table you want
B: 1/4 = 1/4 . . . . . constant is not 3/4
C: values are not proportional
Answer:
A :)
Step-by-step explanation:
Use the calculator to find the product. (1.466 × 10–8)(5.02 × 105) What is the coefficient of the product?
Answer:
7.3593
-3
I took the test on edge and made a 100
The coefficient of the product is 7.35932 and the exponent is -3
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
When we multiply numbers in scientific notation, then
1.466 x 5.02 =7.56932
Then we add the exponents on the powers of 10 as;
10^(-8+5) = 10^(-3)
The result is 7.56932 x 10^-3
Using a calculator, we get 0.00735932, this is not in scientific notation.
0.00735932 changed to scientific notation
Now Move the decimal until a nonzero digit is to the left of the decimal
7.35932
Which that means our exponent is -3
7.35932 x 10^-3
Learn more about scientific notation here:
https://brainly.com/question/3112062
#SPJ6
3. R: {(1, 2), (2, 2), (−1, −2), (−3, 4)}?
Is this relation a function?
A. Yes
B. No
4. Explain your answer from #3: why or why not?
Two points are 17 units apart on a number line. The coordinate of one point is -20.
What are the possible coordinates of the other?
A. -3 and +3
B. -37 and +3
C. -37 and -3
D. +37 and +3
E. +37 and –3
Answer:
It’s c. -37 and -3
Step-by-step explanation:
7g*4g^6 pls help me i need help
What is the 96th term of -16,-28,-40 hi
Answer:
Tn = a + (n - 1) d
where a = first term
n = number of the member of the sequence
d = common difference
a = -16
n = 96
d = second term - first term or
third term - second term
= -28 - (-16) = -28 + 16 = -12 or
= -40 - (-28) = -40 + 28 = -12
d = -12
Tn = a + (n - 1) d
= -16 + (96 - 1) -12
= -16 + (95) -12
= -16 + (-1140)
= -16 - 1140 = -1156
A manufacturer produces dice in many different sizes. If the side length of the dice is double, then the volume of the larger dice is how many time the volume of the smaller dice?
Answer:
Here you are...
Step-by-step explanation:
If you double one of the dimensions, say change one side from 2 to 4 it doubles the volume. if you were to do this to any side, say double it, it would double the volume. ... It will make the volume 4 times as much also. the volume would go from 30 to 120.
y = 9x2 - 18x + 5
Put in vertex form
Answer:
y=9(x−1)2−4
Step-by-step explanation:
Fill in the blanks concerning the following quadratic function: f(x)=−x2−4x+5
.
The leading coefficient of f(x)
is
Answer:
Step-by-step explanation:
Given quadratic function is,
f(x) = -x² - 4x + 5
Leading term of the quadratic function is 'x²'
Coefficient of this leading term is (-1).
Now we will convert this standard equation into vertex form,
f(x) = -x² - 4x + 5
= -(x² + 4x) + 5
= -[x² + 2(2x) + 4 - 4] + 5
= -[x² + 2(2x) + 2²] + 4 + 5
= -(x + 2)²+ 9
f(x) = -(x + 2)² + 9
Since, coefficient of the leading term is negative the parabola will open downwards.
Vertex form of the function is given by,
g(x) = -(x - h)² + k
(h, k) is the vertex.
By comparing the equation of the function 'g' with the function 'f',
(-2, 9) will be the vertex of the function which is the maximum point of the function.
Write the equation of a line with a slope of -1 and a y-intercept of 5. Do not use spaces
in your response.
Answer:
y=-x+5
Step-by-step explanation:
Hope this helps!
And can I have brainliest!
Solve the quadratic equation by completing the square:
5x^2−15x−50=0
If a and b are the roots of the equation
x2 + 4x + 2m_9 and
m2_2 = a2 + 6a + 2b
Calculate the value of m
Step-by-step explanation:
Hope it will help you..
The product of 3 and a number x less than 17
Answer:
3x-17
Thats the answer
Answer:
3x-17
Step-by-step explanation:
I'm pretty sure thats the answer. Hope this helps plz give brainliest.
divide the following. 3+7i/5i
Answer:
4.4.
Step-by-step explanation:
3+7i/5i = 4.4 .
Question 2
2 pts
Line CD is the perpendicular bisector of segment AB. The lines intersect
at point E. Which of these statements is true?
(Hint: it may help to draw a picture, but you don't have to turn it in!)
There is not enough information to be sure.
O E is closer to A than to B.
O E is closer to B than to A.
O E is the same distance from A and B.
Answer:Segments AC AND CD have the same length
triangle BCE IS isosceles
Step-by-step explanation:
Find the equation of the given line. Line C
Answer:
y= 2/3x -2
Step-by-step explanation:
The slope of this line is 2/3 and the y intercept is -2 because that is where the line crosses the y axis.
Solve for all values of x
logx+4(3x2 – 4x + 2) = 2
Answer this question and show the workout
Answer:
Is thIs Indian server??????