Answer:
20 years
Step-by-step explanation:
We can find the time it took to invest
Using the formula for calculating simple interest as shown
SI = PRT/100
Given
Principal P = $600,000
SI = $39,000
Rate R = 3 1/4%
Required
Time
Substitute
39,000 = 600,000*13/400 * T
39,000 * 400 = 600,000*13 * T
15,600,000 = 7,800,000T
T = 15,600,000/7,800,000
T = 20
Hence it took 20years for the sum invested to generate the interest
2. Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large
cups for $2.50. If Ashley sold a total of 155 cups of lemonade for $265, how many cups of each
type did she sell?
Answer:
[tex]\boxed {\boxed {\sf 98 \ Small \ Cups}}\\\\\boxed {\boxed {\sf 57 \ Large \ Cups}}[/tex]
Step-by-step explanation:
Let's make a system of equations.
First, define the variables.
Let s= small cups and g= large cups
Next, make 2 equations. 1 for the money and 1 for the number of cups.
Money
A small cup costs 1.25 and a large cup costs 2.50. The total money made is 265. 1.25s+2.50g=265Number
A total of 155 cups of lemonade were sold. The sum of small cups and large cups sold will equal 155. s+g=155Here is our system of equations:
[tex]1.25s+2.50g=265 \\s+g=155[/tex]
Now, solve. Let's isolate a variable in the 2nd equation, so we can plug it in after.
Subtract g from both sides of the equation. s+g=155 s+g-g=155-gs=155-gNow we know that s is equal to 155-g. We can substitute (155-g) in for s in the first equation.
[tex]1.25s +2.50g=265[/tex]
[tex]1.25(155-g)+2.50g=265[/tex]
Distribute the 1.25
1.25(155-g)= (1.25*155)+ (1.25*-g)= 193.75-1.25g[tex]193.75-1.25g+2.50g=265[/tex]
Work to isolate the variable. Subtract 193.75 from both sides of the equation and combine like terms on the left.
[tex]193.75-1.25g+2.50g=265-193.75[/tex] (Subtract 193.75)
[tex]-1.25g+2.50g=265-193.75[/tex]
[tex]1.25g=71.25[/tex] (Combine like terms).
1.25 and g are being multiplied. The inverse of multiplication is division. Divide both sides by 1.25
[tex]1.25g/1.25=71.25/1.25\\g=71.25/1.25\\g=57[/tex]
Now we know that 57 large cups were sold. Plug 57 back into the original second equation to find the small cups.
[tex]s+g=155[/tex]
[tex]s+57=155[/tex]
Subtract 57 from both sides of the equation to isolate the variable, s.
[tex]s+57-57=155-57\\s=155-57\\s=98[/tex]
Ashley sold 57 large cups and 98 small cups.
small cup she sold = x = 98
large cup she sold = y =57
Which of the following expressions represents "the difference of 8 and n"?
0-8 n
08-0
On-8
Answer:
n-8
Step-by-step explanation:
difference means subtraction so it can't be 8n which is multiplication or 8-0 because n is not represented.
What is the slope of (-2,5) (3, -5)
A. -1/2
B. -2
C. 2
D. 1/2
Answer:
Step-by-step explanation:
(-5 - 5)/(3 + 2)= -10/5= -2
answer is B
can someone please help me with this? if you end up getting it correct after I answer it ill give you 20 points more
Answer: B.
Step-by-step explanation:
The slope is 3 the y-intercept is (0,6)
hope this was helpfulllllllllllllllllllllllllllllllllll
Huilan's age is two times Thomas's age. The sum of their ages is 18. What is Thomas's age?
Answer:
Huilan is 12 and Thomas is 6
Step-by-step explanation:
Answer:
thomas is 6 years old
Step-by-step explanation:
if he is 6. 6x2=12 +6 =18
Classify the polynomial by degree and number of terms.
2+3x^3-7x^3+10
Answer:
−4x^3+12
Step-by-step explanation:
2+3x^3-7x^3+10
simplify this
−4x3+12
5. The price of a new gym bag is $37.00 plus 8% sales tax. What is the sales tax on this gym
bag in dollars and cents?
Answer:
$25.00 which is $24.50
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): Dot was discarded near "x.s".
(2): "37." was replaced by "(37/1)".
Unauthorized use of the imaginary unit "i" or syntax error in complex arithmetic expression
Solve each system to find the answer
Given:
The system of equations is
[tex]5g+4k=10[/tex]
[tex]-3g-5k=7[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]5g+4k=10[/tex] ...(i)
[tex]-3g-5k=7[/tex] ..(ii)
Multiply (i) by 5 and (ii) by 4.
[tex]25g+20k=50[/tex] ...(iii)
[tex]-12g-20k=28[/tex] ..(iv)
Adding (iii) and (iv), we get
[tex]25g-12g=50+28[/tex]
[tex]13g=78[/tex]
Divide both sides by 13.
[tex]g=\dfrac{78}{13}[/tex]
[tex]g=6[/tex]
Put g=6 in (i).
[tex]5(6)+4k=10[/tex]
[tex]30+4k=10[/tex]
[tex]4k=10-30[/tex]
[tex]4k=-20[/tex]
Divide both sides by 4.
[tex]k=-5[/tex]
So, the solution of the system of equation is (6,-5).
Therefore, the correct option is A.
Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x – 50 models Ryan's additional income. What is the expression that models the new average profit, including the bands? Note: To obtain the new average profit expression, add the linear expression to the original rational expression. Write the new profit expression as one fraction.
Answer:
Average (additional) income = 100 - 50/x
Step-by-step explanation:
Ryan's additional income = 100x - 50 , where x = quantity of colored watch bands
Ryan's additional average income = Income / Quantity of watches sold
(100x - 50) / x
= 100 - 50/x
The state Capitol building in Baton Rouge, Louisiana, is 450 feet tall. Ella's scale model of the building uses the scale 25 feet = 10 inches. How tall is Ella's model?
which model represents 1/3
Answer:2nd one because 2/6=1/3
Step-by-step explanation:
Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.
A)
X > 12
B)
0 < x <4
-4 < x < 0
D)
4 < x < 12
Answer:
C) 4 < x < 12
Multiply the two binomials 6x - 5 and 2x + 3 and write your answer in
simplified terms
Answer:
x = 2
Step-by-step explanation:
6x + -5 = 2x + 3
-5 + 6x = 2x + 3
-5 + 6x = 3 + 2x
-5 + 6x + -2x = 3 + 2x + -2x
-5 + 4x = 3 + 2x + -2x
-5 + 4x = 3 + 0
-5 + 4x = 3
-5 + 5 + 4x = 3 + 5
0 + 4x = 3 + 5
4x = 3 + 5
4x = 8
x = 2
brainliest if correct1+1
Answer:
11
Step-by-step explanation:
:>
Answer:
1+1=2 is the answer
Step-by-step explanation:
mark me as brainlist
What is the discriminate?
find the equation of the line . PLEASE HELP
Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?
Answer: (h)q^3
Step-by-step explanation:
.anybody actually knows the answer
Answer:
2.56
Step-by-step explanation:
14.7 - 1.9 = 12.8
12.8/5 (sides) =
n = 2.56
check:
2.56 * 5 = 12.8
12.8 + 1.9 = 14.7
What is the value of 7 in 46.897
Answer:
If your asking its place value its Thousandths
Step-by-step explanation:
.1 is tenths
.01 is hundredths
.001 is thousandths
It is 49,280 yards from Topeka to Tonko. How many miles
is this?
Answer:
Step-by-step explanation:
1 yard = 0.000568 miles
49280 yards = 28 miles
1 mile = 1,760 yards
Divide total feet by 1760
49,280 / 1760 = 28 miles.
There are 2 questions PLease help need it quickley will give brainiest
Answer:
This is the answer
Answer:
did the math person above is right sorry for being late :)
Step-by-step explanation:
PLS I NEED HELP ASAP
Answer:
Answer C
.....,.................
Find the slope between the following points (-3, 4) AND (-7,-5).
Answer:
slope = [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Equation to find slope: [tex]\frac{y1-y2}{x1-x2}[/tex] (-3, 4) (-7, -5)
[tex]\frac{4+5}{-3+7}[/tex] = [tex]\frac{9}{4}[/tex]
What is 2/5 ÷ 1/10 = ?
Which temperatures are listed in order from coldest to warmest?
−6°, −2°, 0°, 4°
0°, −2°, 4°, −6°
−6°, 4°, −2°, 0°
−2°, −6°, 0°, 4°
Answer:
the temperature list from coldest to warmest is :-2,-6,0,4
Help me please!!!!!!!
Answer:
yes
Step-by-step explanation:
that symbol means <= which means x is less than OR equal to 5/2
Yyhhjfffghjjgdrttyhhhftthvfrtgvfffgf
Answer: So the star equals 4 and the triangle equals 1
Step-by-step explanation:
Use the sine rule to calculate BC :)
Answer:
BC≈12.2
Step-by-step explanation:
As we know
24/sin(100°)=BC/sin(30°)
BC=sin(30°)×24/sin(100°)
BC=1/2×24/sin(100°)
BC=12/sin(100°)
BC=12.2 (approximately)
Answer:
BC≈12.2
Step-by-step explanation:
Hope this helped have an amazing day!
Can someone explain to me how to get the answer:
-3 |2d| = 12
-3×2d=12
-6d=12
d=12÷(-6)
then d= -2Hope this helps.
PLSSSS SOMEONE HELP MEEE IM STUCK the question is below
Answer:
x=8, y=73/3
Step-by-step explanation:
they ask to solve by substitution so from second equation find y
4x-3y= -41 isolate y
4x+41 = 3y divide both sides by 3
(4x+41)/3= y substitute this y in the first equation
5x+2y = -34
5x+2(4x+41)/3 = -34 distribute and find the common denominator
3*5x+(8x+82)/3 = -34
15x+8x+82=-34*3 cross multiply
23x = -102-82
x=-184/23=8
y=(4*8+41)/3=73/3 is about 24.333..