Last year, Amy had $20000 to invest. She invested some of it in an account that paid 8% simple interest per year, and she invested the rest in an account that paid 9% simple interest per year. After one year, she received a total of $1690 in interest. How much did she invest in each account?
Answer:
Amount invested at 8% rate of interest = $11000
Amount invested at 9% rate of interest = $9000
Step-by-step explanation:
Let Amy invested amount in a account with 8% simple interest = $a
Then the interest gained after one year = [tex]\frac{\text{Principal amount}\times \text{Rate of interest}\times \text{Time}}{100}[/tex]
= [tex]\frac{a\times 8\times 1}{100}[/tex]
= 0.08a
Remaining amount for the investment = $(20000 - a)
Interest earned after one year with rate of interest 9%
= [tex]\frac{(20000-a)\times 9\times 1}{100}[/tex]
= $(1800 - 0.09a)
Total interest earned after 1 year = $1690
0.08a + (1800 - 0.09a) = 1690
1800 - 0.01a = 1690
0.01a = 110
a = $11000
Amount invested at 8% rate of interest = $11000
Amount invested at 9% rate of interest = $(20000 - 11000) = $9000
Miss Hillard is purchasing candy hearts to distribute to 28 students in her math class and Valentine's Day issue would like each students get a minimum of 15 candy hearts how many will she need to purchase
Answer:
She needs to buy 420 candy hearts.
Step-by-step explanation:
15*28 = 420
15 per student, and there is 28 students
The number of candy hearts that she needs to purchase will be 420.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Miss Hillard is buying treats hearts to disperse to 28 understudies in her number-related class and Valentine's Day issue would like every understudy to get at least 15 sweets hearts.
Then the number of candy hearts that she needs to purchase will be given as,
⇒ 15 x 28
⇒ 420
The number of candy hearts that she needs to purchase will be 420.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
what integer best represents a withdraw of $40. please hurry its due asap.
thanks so much
Answer:
-40 your welcome
Step-by-step explanation:
In 2010, the population of a city was 168,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 5%. To the nearest 100 people, what was the population in 2020?
Answer:
172000
Step-by-step explanation:
Population growth from 2010 to 2015 if population increased by 8% =
1.08 x 168,000. = 181440
Population growth from 2015 to 2020 if population decreased by 5% =
0.95 x 181440 = 172,368
Rounding off to the nearest 100 people = 172,000
The population in the year 2020 is 172,368.
Calculation of the population in 2020:Since
In 2010, the population of a city was 168,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 5%.
So,
[tex]= 168000 \times 1.08 \times 0.95[/tex]
= 172,368
hence, The population in the year 2020 is 172,368.
Learn more about population here: https://brainly.com/question/13977748
The data above can be modeled by the function f(x) = 0.0425x^2 + 0.07381x - 0.49107 . Using this equation, predict the skid distance for a car that is driving 50 mph.
Answer:
f(50) = 109.44943 feet
Step-by-step explanation:
Modeling
The model of a situation where the skid distance f is measured against the car speed x can be expressed as:
[tex]f(x) = 0.0425x^2 + 0.07381x - 0.49107[/tex]
Using this equation, we can predict the skid distance for a car that is driving at x=50 mph by substituting in the equation of the model:
[tex]f(50) = 0.0425*50^2 + 0.07381*50 - 0.49107[/tex]
[tex]f(50) = 106.25 + 3.6905 - 0.49107[/tex]
f(50) = 109.44943 feet
HELPPPP PLSSS IM FAILING MATHHH
Answer:
The answer is C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
if you see where the red line ends on the right side it is at 170 on the protractor
Michael has 38 nickels and quarters in his backpack. If he has a total of $4.50. how many nickels, n, and how many quarters, q, does he have?
Answer Michael has
nickels and
quarters
Answer:
10 quarters and 2 nickels
Step-by-step explanation:
38 x .5 = 1.90
4.50 - 1.90 = 2.60
10 quarters and 2 nickels.
Help me in number 10 please 6 points!!!!
Answer:
answer is 8.5
Step-by-step explanation:
ILL GIVE U BRAINLYIST
Answer: the answer is circle
Step-by-step explanation: hope that helped
160% of what number is 80% please help!
Plz help now
We toss a die 4 times. among all possible outcomes how many have at least one occurrence of 1?
Answer:
4/24
Step-by-step explanation:
Alex and glen share a 30 ounce bucket of clay by the end of the week alex has used 1/10 of the bucket and glen has used 2/5 of the bucket of clay how many ounces are left in the bucket
Answer:
21 ounces
Step-by-step explanation:
Answer:
15 ounces
Step-by-step explanation:
we know that the whole is 30 we know that Alex 1/10 and glen has 2/5 we dont know wht left over :: 1/10 + 2/5 = 1/10 + : 4/10 = 5/10 so 1 - 5/10 = 5/10
We need to find how many ounces of clay are left. Which equation can we use to find how many ounces are in 5/10
of the whole bucket? 5/10 x 30 and 5x 30 10
15 onces
There are 12 rolls of film in a box, and 4 are defective. Two rolls are to be selected, one after the other, sampling without replacement. What is the probability of selecting two defective rolls?
Group of answer choices
None of the answers is correct.
7/23
12/132
16/144
1/4
12/144
Using the hypergeometric distribution, it is found that the probability is 12/132
------------------------------------
The rolls are chosen from a sample without replacement, which means that the hypergeometric distribution is used to solve this question.
------------------------------------
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
------------------------------------
12 rolls means that [tex]N = 12[/tex]4 defective means that [tex]k = 4[/tex]2 are chosen, which means that [tex]n = 2[/tex]------------------------------------
What is the probability of selecting two defective rolls?
This is P(X = 2). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,12,2,4) = \frac{C_{4,2}*C_{8,0}}{C_{12,2}} = \frac{4 \times 3}{12 \times 11} = \frac{12}{132}[/tex]
12/132 is the probability.
A similar problem is found at https://brainly.com/question/24229905
need help please and thank
Answer:
The Answer is B
Step-by-step explanation:
All the numbers and coefficients in option B correspond with the ones in the question. Hope this helps :)
The budget for a school dance is 370.00. The band charges $65.00 per hour. What is the maximum number of hours the school can have the band play at the dance?
Simplify the expression:
-10(32-6)
—————
3
Answer: -260
Step-by-step explanation:
Answer:
-260
Step-by-step explanation:
First, we have to distribute -10 to 32 and -6, since 32 - 6 is in parentheses.
So, the expression becomes -320 + 60, because -10 × 32 = -320 and -10 × -6 = 60.
So, -320 + 60 = -260
So I need help with 1 over x minus 8 so like 1/x-8 this is a negative exponent
Answer and Step-by-step explanation:
one divided by (in parentheses) x minus eight should look like this:
[tex]\frac{1}{x-8}[/tex]
This is a graph of this expression.
#teamtrees #WAP (Water And Plant)
A projectile is thrown upward so that its distance above the ground after t seconds is h=-121t^2 +504t. After how many seconds does it reach it maximum height?
Answer:
2.08secs
Step-by-step explanation:
Given the equation modeled by the height as h=-121t^2 +504t
The velocity of the object at the max height is zero, hence;
v = dh/dt = 0
dh/dt = -2(121)t + 504
dh/dt = -242t + 504
0 = -242t + 504
242t = 504
t = 504/242
t = 2.08secs
Hence the projectile reaches its maximum height after 2.08secs
What is the surface area, in square inches, of a prism with a length of 10 inches, a width of 7 inches, and a height of 3 inches?
Answer:
measurement square meter
Step-by-step explanation:
thats good answer
sana po makatulong po sa inyo
po....................
Maria bought G gallons of gasoline for $2.75 per gallon and see cans of oil for $3.15 per can a what expression can be used to determine the total amount Maria spent on gasoline be if she bought 7.4 gallons of gasoline and eight cans of oil how much do you spend in all
Answer: $20.35 on gallons of gas and $25.2 on cans of oil
-9x2y5 is polynomial or monomial or binomial or trinomial or polynomial
Answer:
Monomial
Step-by-step explanation:
Monomial is only one value therefore the following value is a monomial.
[tex]-9x^2y^5[/tex]
The temperature at 6 AM what is -12°F the temperature increased by 1/2°F each hour for six hours what is the temperature in degrees Fahrenheit at noon
1/2 degree x 6 hours = 3 degree increase.
-12 + 3 = -9
The temperature at noon was -9 degrees.
Oliver didn't have any money to play a game at the fair. He borrowed four dollars from Annie and told her he'd pay her next week once he got his allowance. After paying for the game, what number represents the amount of money Oliver has now?
Answer:
He practicably stole her money
Step-by-step explanation:
that scu m bag
Answer:
Step-by-step explanation:
If Oliver just played the game he has $0 dollars but in terms of debt, he has -$4.
An urn contains 3 red and 5 orange marbles. 2 marbles are selected without replacement. Find the probability that the second marble selected is orange given that the first marble selected is orange.
Answer: [tex]\dfrac{5}{14}[/tex]
Step-by-step explanation:
Given: An urn contains 3 red and 5 orange marbles.
Total marbles = 3+5=8
Probability of getting orange marble = [tex]\dfrac{\text{Number of orange marble}}{\text{Total}}[/tex]
[tex]=\dfrac{5}{8}[/tex]
Now marbles left = 7
Orange marbles left = 4
and Probability of getting orange marble = [tex]\dfrac47[/tex]
The probability that the second marble selected is orange given that the first marble selected is orange[tex]=\dfrac58\times\dfrac47=\dfrac{5}{2}\times\dfrac17=\dfrac{5}{14}[/tex]
Required probability= [tex]\dfrac{5}{14}[/tex]
Taikan has 3 riffle tickets. One hundred were sold. If his name was not drawn for the first place prize, what is the probability that his name will be drawn for the second place prize?
A. 1/1,100
B. 1/1650
C. 2/99
D 1/33
Answer:
Step-by-step explanation:
3/(100-1)
3/99
1/33
3r+2b
1) 2
2) 2b
3) 3
4) 3r
Answer:
the answer is 3r + 2b
Step-by-step explanation:
because they are two completely different terms, they need to have both same terms like: 2r + 3r= 5r, you can do that because they are like terms, Let me know if I'm right
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The asymptote of the function f(x) = 3^x + 4 is y=
Answer:
your answer is 4
Step-by-step explanation:
Pls tell me the answer....it’s dueee today
Answer:
90°
Step-by-step explanation:
Hi!
I forgot the theorems exact name but it's something like "radius to a line that is tangent to the circle is always perpendicular to the tangent line" and perpendiular means 90°
10 Factorise completely
a 6x2 + 18x
b 8y3 – 2y4
c 16xy – 8xy?
8 Expand and simplify
a 4(x + 3) + 7(x - 1)
b x(x – 6) – x(4x – 2)
C x(3x2 + 4) + 2x(5x2 + 9)
how do u do this and what's the answers?plsss helpp
Step-by-step explanation:
Factorise completely
a 6x2 + 18x
Common factors
6x(x+3)
b 8y3 – 2y4
2y^3(4-y)
c 16xy – 8xy?
8xy(2-1)
8xy
8 Expand and simplify
a 4(x + 3) + 7(x - 1)
4x+12+7x-7
11x+5
b x(x – 6) – x(4x – 2)
x^2-6x-4x^2+2x
-3x^2-4x
-x(3x+4)
C x(3x2 + 4) + 2x(5x2 + 9)
3x^3+4x+10x^3+18x
13x^3+22x
x(13^2+22)
how do I solve this can someone explain it to me
Answer:
x = 125.44
Step-by-step explanation:
you multiply both side by 7
so 7 • 17.92 = 7 • x/7
125.44 = x
Answer:
x = 125.44
Step-by-step explanation:
multiply each side of the equation by 7
17.92(7) = [tex]\frac{x}{7}[/tex](7)
125.44 = 7x / 7
7x / 7 = 1x or x
x = 125.44