[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$74500\\ r=rate\to 13.3\%\to \frac{13.3}{100}\dotfill &0.133\\ t=years\dotfill &25 \end{cases} \\\\\\ A=74500e^{0.133\cdot 25}\implies A=74500e^{3.325}\implies A\approx 2071025.40[/tex]
Grandma baked 1.5 times as many pancakes as waffles. After she baked 45 more waffles, and her grandchildren ate 12 pancakes, there were 17 more waffles than pancakes. How many waffles were there initially?
pls help fast
Answer:
80
Step-by-step explanation:
(x + 45) - (1.5x - 12) = 17
x + 45 - 1.5x + 12 = 17
-0.5x+57=17
-0.5x=-40
-40/-0.5=80
HELP ME PLEASE!! the inequality X <38 can be used to represent how much water is in a swimming pool. where X is the volume of water in the pool in cubic meters. Which of these statement BEST describes how much water is in the swimming pool?
Answer:
x < 38 represents that there is less than 38 cubic meters of water in the pool.
Step-by-step explanation:
" < " sign represents less than.
" > " sign represents more than.
" ≥ " sign represents at least or more than.
" ≤ "sign represents at least or less than.
Answer:
B
Step-by-step explanation:
The sign < means less than
Given x is the volume of the pool
Therefore, x < 38 means the volume of the pool is less than 38 m³
For information, the statements written as inequalities would be
A: x > 38
B: x < 38
C: x ≥ 38
D: x ≤ 38
Pythagorean theorem Words Problems
Answer:
22.2 ft
Step-by-step explanation:
=) B² = H² - P²
=) B² = 32² - 23²
=) B² = 1024 - 529
=) B = 495 root sq.
=) B = 22.2 ft
Zachary invests $400 into an account that earns 3.5% simple interest for 5 years. He does not make any other deposits or withdrawals.
At the end of 5 years, Zachary invests the entire account balance into a different account that earns 5% simple interest. He leaves the money in the account for 2 years without making any additional deposits or withdrawals.
What is the new account balance at the end of 2 years?
Drag and drop values into the boxes to correctly complete the statements.
Zachary invests $Response area into the account that earns 5% simple interest. At the end of 2 years, the account balance is $Response area.
Answer:
Zachary invests $470 into the account that earns 5% simple interest. At the end of 2 years, the account balance is $517
Step-by-step explanation:
I took the test
The new account balance at the end of 2 years is $517.
Simple interest5 years
Using this formula
I= (P+r×t)
Where:
I=Interest=?
P=Principal=$400
r=Interest rate=3.5%
t=Time=5 years
Hence:
I= ($400×0.035 x 5)
I= $70
2 years
I=Interest=?
P=Principal=$470
r=Interest rate=5%
t=Time=2 years
I=($470+0.05×2)
I=$47
New balance:
New balance=$400+$70+$47
New balance=$517
Inconclusion the new account balance at the end of 2 years is $517.
Learn more about simple interest here:https://brainly.com/question/2294792
Please give me right answer fast need it by tonight
help i give 5 stars and a crown
Answer:
false
Step-by-step explanation:
it cannot possibly be 180 because when you add up the other two together and then add 180 it is over 360 degrees
The band director at a high school wants to know what percentage of parents supports a decrease in the budget for fine arts. Because many parents attend the school’s annual musical, the director surveys the first 30 parents who arrive at the show. Explain why this sampling method is biased. Is the proportion of parents in the sample who support the decrease likely greater than or less than the proportion of all parents in the school who support the decrease?
Using sampling concepts, it is found that the sampled is biased because only parents who attend the school's musical show are surveyed, hence they are not very likely to support the decrease, and the population proportion should be greater than the one found in the show.
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.A sample has to take into account all aspects of the population, otherwise it is biased. In this problem, either people support the decrease, or they do not. Only people that went to the show were surveyed, that is, people who are unlikely to support the decrease, which generates bias, as the population proportion should be greater than the one found in the show.
More can be learned about sampling concepts at https://brainly.com/question/25122507
What is another way of saying that Janelle can ride her bike at a rate of 15 kilometers per hour?
Answer:
Janelle can ride her bike at a rate of 9.32 miles per hour
Step-by-step explanation:
15 kilometers is 9.32 miles
a + c = 30
12a + 8c = 280
Answer:
a=10 and c=20
Step-by-step explanation:
This is a system of equations. I will solve using the substitution method.
a+c=30
12a+8c=280
Solving for a:
a+c-c=30-c
a=30-c
Substituting a into the second equation:
12(30-c)+8c=280
360-12c+8c=280
360-4c=280
-4c=-80
c=20
Substituting into the original equation:
a+20=30
a+20-20=30-20
a=10
To prove this answer is correct, I will plug the solutions back in to the original equation.
a+c=30
10+20=30
30=30, True
12a+8c=280
12*10+8*20=280
120+160=280
280=280, True
Therefore, a=10 and c=20.
Radically reduce square root of 243
Answer: 9sqrt(3)
Step-by-step explanation:
First, we can prime factorize 243.
243 = 3^5
Therefore we are computing the square root of 3^5
3^5 = 3^4 * 3^1; 3^4 = (3^2)^2
Therefore, sqrt(3^5) = sqrt((3^2)^2))*3^1)
= 3^2*sqrt(3)
= 9sqrt(3)
help with angle sum theorem please
A base is labeled on the triangle below. B. C 7 * base Which line segment shows the height that corresponds to the given base of the triangle?
Answer: A
Step-by-step explanation:
Looks like A, since it's the altitude.
what is the Area of the parallelogram
Answer:
55
Step-by-step explanation:
The Distance between (-2, -5) and (-2, 6) is 11 and the distance between (-2, 5) and (3, 5) [the altitiude] is 5. 11 x 5 is 55 so therefore the area is 55 :)
PLS HELP ME ASAP I WILL GIVE YOU 43 POINTS
The diagram shows 3/4 of a fraction strip shaded. Mary erases some of the shadings to show 5/8. Explain the steps she took to shade 5/8 of the fraction strip.
Answer:
a 8 parts b 8 3|4 = 3×2|4×2=b|8
Step-by-step explanation:
find the constant term of -8x-5x^4-1-x^5/9+8x^3
PLS HELP THXS
find x using Pythagoras theorem
Answer:
x = 3
Step-by-step explanation:
The Pythagorean theorem tells you the sum of squares of the legs is equal to the square of the hypotenuse. In this geometry, a radius from the circle center to point T is length x, and is one leg of the right triangle.
x^2 +4^2 = (x +2)^2
x^2 +16 = x^2 +4x +4 . . . . . expand
12 = 4x . . . . . . . . . . . . . subtract (x^2 +4)
3 = x . . . . . . . divide by 4
The radius of the circle is 3 cm.
a laptop computer is purchased for $1800. after each year the resale value decreases by 35%. what will the resale value be after 5 years? round to nearest dollar.
Answer:
1800-35%=1170
1170-35%=760,5
760,5-35%=494,325
494,325-35%=321,31
311,31-35%=208,85
after round it is 209
Answer:
$209
Step-by-step explanation:
1800-(1800*.35)=1170
1170-(1170*.35)=760.5
760.5-(760.5*.35)=494.325
494.325-(494.325*.35)=321.31125
321.31125-(321.31125*.35)=208.8523125
$209 after 5 years
Hope this helps
A shirt is on sale for 30% off the regular price. The regular price is $27.00.
What is the sale price?
$8.10
$18.20
$18.90
$18.80
Answer:
18.90
Step-by-step explanation:
Can anyone please help me out with this??? PLEASE AND THANK YOU
Answer:
(-2/3, 4)
Step-by-step explanation:
3x+2y=10
-12x-2y=-4
-9x=6
x=-6/9=-2/3
-2+2y=10
y=4
find the value of 16 to the power of 3/4
Answer:
8
Step-by-step explanation:
If we write this as an expression it looks like [tex]16^{\frac{3}{4} }[/tex]
Multiply the top number of the fraction by itself to find its square. Write the result and place the fraction line below it.
1 yd² of soil containing 30% clay was mixed into 2 yd of soil containing 45% clay. What is the clay content of the mixture?
Answer:
105% ?
Step-by-step explanation:
I'm not entirely sure if the 1 yard 'squared' is considered in the 30% but assuming it's not ... 1yd =30% 1yd^2=60% and 2yd=45% so 60%+45%=100%
If line m bisects AB at point P, and if AP= 1/2 y and PB= y-2, then find AB
Answer:
the answer is twenty four
(PLEASE HELP!) (IM GIVING GOOD POINTS!) Michaela buys 2 cartons of eggs at $1.58 a carton, 415 pounds of ground turkey at $6.99 a pound, and a jar of strawberry jam for $4.38. She gives the cashier four $10 bills.
How much change will Michaela receive?
Enter your answer as a decimal rounded to the nearest hundredths place, if necessary, like this: 4.25
Answer:
Michaela gets 3.45$ back.
Step-by-step explanation:
1 carton of eggs = 1.58$
she buys 2, so 2 times 1.58= 3.16$
1 pound of turkey = 6.99$
she buys 4.15 pounds, so 4.15 times 6.99= 29.01$
she buys a jar of jam for 4.38$
4.38 + 3.16 + 29.01 = 36.55$
4 times 10= 40
40 - 36.55 = 3.45$
Answer:
$3.10
Step-by-step explanation:
The cost of the goods Michaela buys is ...
2 cartons eggs at $1.58 per carton = $3.16
4 1/5 pounds turkey at $6.99 per pound = $29.36
1 jar of jam at $4.38 per jar = $4.38
The total is then ...
$3.16 +29.36 +4.38 = $36.90
Four $10 bills will be $40, so the change is ...
$40 -36.90 = $3.10
Michaela will receive $3.10 in change.
_____
Additional comment
We know that Brainly often mangles mixed numbers, so we have assumed that "415" is intended to be 4 1/5. If it is intended to be 4.15 pounds, then the price of the turkey, and the change, will be different by about $0.35. Michaela's change will increase by that amount.
Dave buys a coat for £20, a hat for £15 and a pair of gloves for £5.
Later, he sells the coat at 50% profit. He sells the hat for £18 but has to sell the gloves at a 20% loss.
What is his overall percentage profit?
Answer:
30%
Step-by-step explanation:
Purchases:
Coat £20
Hat £15
Gloves for £5
Total amount of purchases: £20 + £15 + £5 = £40
Sales:
Coat at 50% profit: 150% × £20 = 1.5 × £20 = £30
Hat: £18
Gloves at a 20% loss: 80% of £5 = £4
Total amount of sales: £30 + £18 + £4 = £52
Amount of profit: £52 - £40 = £12
Percent of profit: £12 / £40 × 100% = 30%
HELPPPPPPPPPPPPPPPPP Solve for w x and y
Step-by-step explanation:
opp angles are equal in kite
so x = 48°
bigger diagonal bisects smaller diagonal
w=1.6cm
take ∆rey
r= 90°
angle rye = 48°
90+48+y = 180
y= 90-48=42°
The distance from O to A is 3 and the distance from A to A prime is 3. The diagram shows a dilation. Which dilation does it represent? What is the scale factor?.
The dilation which represented by the line is enlargement and the scale factor of dilation is 2.
What is the dilation of the figure?Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
The distance from O to A is 3. Therefore,
[tex]OA=3[/tex]
The distance from A to A prime is 3. Therefore,
[tex]AA'=3[/tex]
Here, the new length of the line segment is,
[tex]OA'=OA+AA'\\OA'=3+3\\OA'=6[/tex]
The scale factor of dilation is,
[tex]r=\dfrac{OA'}{OA}\\r=\dfrac{6}{3}\\r=2[/tex]
The scale factor is 2 and the image is enlarged.
Hence, the dilation which represented by the line is enlargement and the scale factor of dilation is 2.
Learn more about the dilation of the figure here;
https://brainly.com/question/3457976
Answer:
enlargement
2
Step-by-step explanation:
what should be subtracted from
[tex] {a}^{2} - 7ab \: + {3b}^{2} [/tex]
to get
[tex]( - 4 {a}^{2} + 6ab \: + 3 {b}^{2} )[/tex]
?
-5a²+13ab should be subtracted.
Step-by-step explanation:-Based on the given conditions, formulate,
[tex]→- {a}^{2} - 4 {a}^{2} + 13ab[/tex]
[tex]→-({a}^{2} - 4 {a}^{2}) + 13ab[/tex]
Taking the coefficients or numbers, we get,
[tex]→(- 1 - 4) {a}^{2} + 13ab[/tex]
[tex]→ - 5 {a}^{2} + 13ab[/tex]
Given :
What should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b² ?
Solution :
Let the required expression to be subtracted be x
⇢ a² – 7ab + 3b² – x = – 4a² + 6ab + 3b²
⇢ a² – 7ab + 3b² – (– 4a² + 6ab + 3b²) = x
⇢ a² – 7ab + 3b² + 4a² – 6ab – 3b² = x
Combining the like terms :
⇢ a² + 4a² – 7ab – 6ab + 3b² – 3b² = x
⇢ 5a² – 13ab = x
⇢ x = 5a² – 13ab
Therefore,
5a² – 13ab should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b².
x^2(x+2)(x+6)=0
What are the solutions to the equation?
Answer:
3 solutions
Step-by-step explanation:
x = 0; x = 2; x = -6
As we are given with an equation as follows :
[tex]{:\implies \quad \sf x^{2}(x+2)(x+6)=0}[/tex]
As product of these three factors is equal . So , any of these factor can be 0 as product is 0 only when one of the expressions which are multiplied is 0. So , 3 cases arises as follows ;
Case I :-[tex]{:\implies \quad \sf x^{2}=0}[/tex]
On raising ½ power to both sides we have ;
[tex]{:\implies \quad \sf x=\pm \: 0}[/tex]
Now , as +0 and -0 have no difference in them . So , it's simply 0
[tex]{:\implies \quad \sf So\quad x=0}[/tex]
Case II :-[tex]{:\implies \quad \sf x+2=0}[/tex]
[tex]{:\implies \quad \sf So\quad x=-2}[/tex]
Case III :-[tex]{:\implies \quad \sf x+6=0}[/tex]
[tex]{:\implies \quad \sf So\quad x=-6}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Hence \:\: x\in \{0,\: -6,\: -2\}}}}[/tex]
What is the value of x in the equation 2. 5 minus 0. 25 x = negative 3? –22 –1. 1 1. 1 22.
Please answer this right if you do I’ll give brainly please please please
Answer:
$2.25
Step-by-step explanation:
last year price = $3.00
this year price = $3.00 - (25% × $3.00)
= $3.00 - $0.75
= $2.25