Answer:
It could be restated as [tex]\sqrt{x} \leq[/tex] 10, if that's what the question asked.
1. Noah has $15,000 to invest. He invests some amount at 5% annual interest and the rest at 3% annual
interest. After one year, his total interest from both accounts is $620.
How much did he invest in each account? (Clearly label which amount is for which account in your
answer. Hint: Over a one year period, annual interest is the same as simple interest.)
[6 pts]
Answer:
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
Step-by-step explanation:
Let the sum invested at interest rate of 5% be X
Let the sum invested at interest rate of 3% be Y
As we know
[tex]X + Y = 15000[/tex] - Eq (1)
[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]
[tex]5X + 3Y = 62000[/tex] ---Eq (2)
Multiplying Eq (1) by 3 we get -
[tex]3X + 3Y = 45000[/tex]
Substract Eq (1) from Eq (2) we get
[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
angela shared a cab with her friends. when they arrived at their destination, they evenly divided the $j fare among 3 of them. Angela also paid a $5 tip.
How much did Angela pay in total?
Answer:
(j/3) + 5
Step-by-step explanation:
Determine the Geometric mean of 18 and 27
Answer:
The geometric mean of 18 and 27 is 22.045407685
Step-by-step explanation:
I hope this helps and pls mark me brainliest :)
Answer:
22.045407685
Step-by-step explanation:
PLZZ help me with this I really need your help
Answer:
1) Linear
2) Slope-intercept form
3) Slope
4) 25
5) Y-intercept
6) 50
7) Y-axis
8) 0
9) Rise
10) Run
11) 1
12) 75
13)line
When simplifying x^3 · x^2, the exponents are added together.
True
False
what is the approximate height of h?
Mariah went to the store to buy a coat. The coat originally cost $120.00. Mariah used a coupon
that saves her 20%.
d Marinho hy using the counon?
Step-by-step explanation:
120 times 0.20= $24
120-24= $96
Which of the following functions has a lower bound but no upper bound?
A. e^x^2
B. sin(x)
C. 1/x
D. ln(x)
Answer:
C. 1/x
Step-by-step explanation:
Sana nakatulong
Match each expression with the correct description.
please help I’m very confused
Answer:
Least value: s + r
Greatest value: s - r
Closest to zero: s
Step-by-step explanation:
Here, we can approximate r as -6 and s as 2.
If we calculate each possibility using our approximations above:
s - r = 2 - (-6) = 8
s = 2
s + r = 2 - 6 = -4
Using these numbers, we can conclude:
Least value: s + r
Greatest value: s - r
Closest to zero: s
Answer:
Least value: s + r
Greatest value: s - r
Closest to zero: s
Step-by-step explanation:
i will award brainliest HELPP
Answer:
D
Step-by-step explanation:
Write the fraction as BOTH percentages and decimals.
114/165
Answer: 69.09% is the percentage. 0.6909 is the decimal
Step-by-step explanation:
hope this helps! you don't have to but maybe mark as brainliest?
Determine if the given value of the variable is the solution of the equation . write yes or no .
Answer:
yes
Step-by-step explanation:
7.8 x c + 3.4 = 19
7.8c + 3.4 = 19
7.8c = 19 - 3.4
7.8c = 15.6 (now divide both sides by 7.8)
x = 2
9/10 divided by 3/4
3/4 divided by 9
6/9 divided by 6/7
5/6 divided by 3/10
Answer:
9/10 divided by 3/4 is 6/5
3/4 divided by 9 is 1/12
6/9 divided by 6/7 is 7/6
5/6 divided by 3/10 is 25/9 but as a mixed number it is 2 7/9
Rewrite each of the following expressions as powers with a base of 2
Answer:
Step-by-step explanation:
what expressions?
Z - ( -7 ) < 5 it’s solving inequalities. Help. Also 8(3g - 2) <= 12(2g + 1) pls ;-;
Answer:
z < -2
g is indeterminate
Step-by-step explanation:
For the inequality Z - ( -7 ) < 5
open the parenthesis
z+7 < 5
Subtract 7 from both sides
z+7-7 < 5-7
z < -2
For 8(3g - 2) <= 12(2g + 1)
Expand
24g -16 ≤ 24g + 12
24g - 24g ≤ 12+18
0g≤ 28
g ≤ 28/0
Hence g is indeterminate
Find the area of the trapezoid. Round your answer to the nearest hundredth.
Answer:
my answer is the 500 or 5
Step-by-step explanation:
I'm saying that because some books write for you the zeros and other write for you the zeros if you find the book saying 500 that's the answer if the book is saying 5 that's the answer but don't say they're both correct answers nice to help you.
The sum of three whole numbers in 27. The mean of the three whole numbers is 9, and the greatest number is twice the least number.
What is the greatest number?
A. 9
B. 12
C. 18
D. 24
Estimate the area of the circle. Use 7/22 for π
Answer:
Area = pi * r^2
r is half of the diameter
Area = pi * 14^2
Area = 196 pi
196 * 3.14
Area is approximately 615.44 cm^2
Write your answer using integers, proper fractions, and improper fractions in the simplest form
PLEASE HELP
Answer:
y = 1/4 x - 7/2
Step-by-step explanation:
x - 4y = 14
-4y = -x + 14
y = -x/(-4) - 14/4
y = 1/4 x - 7/2
You recently sent out a survey to determine if the percentage of adults who use social media has changed from 66%, which was the percentage of adults who used social media five years ago. Of the 2809 people who responded to survey, 1634 stated that they currently use social media. Use the data from this survey to construct a 98% confidence interval estimate of the proportion of adults who use social media.
Answer:
The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Of the 2809 people who responded to survey, 1634 stated that they currently use social media.
This means that [tex]n = 2809, \pi = \frac{1634}{2809} = 0.5817[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 - 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.56[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 + 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.6034[/tex]
The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).
Without solving, tell what is true of the product of 8 and 12.
Answer:
96 is the answer and it has always been the answer
tour busload of 45 people attended two Florida theme parks on successive days. On Day 1 the entrance fee was $15 per adult, $8 per child, $12 per senior citizen and the total charge was $558. On Day 2 the entrance fee was $20 per adult, $12 per child, $17 per senior citizen and the total charge was $771. How many adults, children, and senior citizens were on this tour bus
Answer: There are 22 adults , 12 children and 11 senior citizens on the tour bus.
Step-by-step explanation:
Let adult = x
children = y
senior citizen = z
Given : Total busload (x+ y + z) = 45
Total charge on day 1 = 558 $ = [tex]15\times x+8\times y+12\times z[/tex]
Total charge on day 2 = 771 $ = [tex]20\times x+12\times y+17\times z[/tex]
Now we have 3 equations : x+ y+z =45
[tex]15\times x+8\times y+12\times z=558[/tex]
[tex]20\times x+12\times y+17\times z=771[/tex]
Solving for them we get: x= 22 , y = 12 and z= 11
Thus there are 22 adults , 12 children and 11 senior citizens.
In a school of 1200 students, the ratio of
the number of teachers to students is 1 : 15.
After some teachers join the school, the ratio of
the number of teachers to students becomes 3:40.
Find
(i) the initial number of teachers in the school,
(ii) the number of teachers who join the school.
Step-by-step explanation:
i)Initial School population,
given 15 units = 1200
1 unit =
[tex]1200 \div 15 \\ = 80[/tex]
Number of teachers (initial) = 1 unit = 80.
ii)take j = number of teachers joining the school.
New teacher population = 80+j
[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]
What is the area of the triangle?
A father is questioning the probability his daughter will receive a scholarship. She is a finalist for two different scholarships. The awarding of these scholarships is independent. For the first scholarship (Scholarship A) there are 5 finalists and two scholarships will be awarded. For the second scholarship (Scholarship B) there are also five finalists and one scholarship will be awarded.
1. What is the probability that she will receive Scholarship A and Scholarship B?
2. What is the probability that she will receive at least one scholarship, Scholarship A or Scholarship B?
3. Should she apply for both scholarships or one of the scholarships? If just one, which one? Why?
Solution :
According to the question, let
A : winning first scholarship
B : winning second scholarship
So for the first scholarship, there are five finalist and only two scholarship will be awarded. And for the second scholarship there are five finalist and only one scholarship will be awarded.
Therefore,
[tex]$P(A)=\frac{2}{5}$[/tex] and [tex]$P(B)=\frac{1}{5}$[/tex]
1. So, [tex]$P(A \cap B ) = P(A) P(B)$[/tex]
[tex]$=\frac{2}{5} \times \frac{1}{5}$[/tex]
[tex]$=\frac{2}{25}$[/tex]
2. [tex]$P(A \cup B) = P(A)+P(B)-P(A)P(B)$[/tex]
[tex]$=\frac{2}{5}+\frac{1}{5}-\frac{2}{25}$[/tex]
[tex]$=\frac{13}{25}$[/tex]
3. She should apply to both the scholarships, so as to have a maximum chances of winning at least one scholarship.
The line plot shows the amount of grass seed that a landscaper needs for each of her jobs. What is the total amount of grass seed that the landscape needs?
Answer:
[tex]Total = 18\frac{1}{4}[/tex]
Step-by-step explanation:
Given
The attached line plot
Required
The total
To do this, we simply multiply each grass seed by the frequency (i.e. number of dots), then add up the results.
So, we have:
[tex]Total = \frac{1}{4} * 2 + \frac{1}{2} * 3 + \frac{3}{4} * 1 + 1 * 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3[/tex]
[tex]Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3[/tex]
Convert fractions to improper fraction
[tex]Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} * 1 + \frac{3}{2} * 3 + \frac{7}{4} * 1 + 6[/tex]
[tex]Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} + \frac{9}{2} + \frac{7}{4} + 6[/tex]
Add fractions
[tex]Total = 18\frac{1}{4}[/tex]
Hence, the total amount is: [tex]18\frac{1}{4}\b[/tex] pounds
which one of yu geniuses can answer this question ???
Answer:
B. 20
Step-by-step explanation:
x + 40 = 3x
x - x + 40 = 3x - x
40 = 2x
20 = x
Please help with any you can, i will give brainliest.
Answer:
11.4
Step-by-step explanation:
7b))60+40+x=180
x=180-100
x=80
sin60÷10=sin80÷x
xsin60=10sin80
x=10sin60÷sin60
=11.371
=11.4
Please help!!!! Show your work if you can. Don’t use a link as an answer.
Answer:
x-3
Step-by-step explanation:
first off, you've got to factor this expression
x^2-x-6= (x+2)(x-3)
so that is your expression.
then, you can take a look at the options.
x+2 is a binomial, and x-3 is a binomial
the only option out of those two that is on the screen is x-3.
the answer is x-3
hope this helped!!!
square root of 27 lies between which two natural numbers?
Answer:
5,6
Step-by-step explanation:
Answer:
5 and 6
Step-by-step explanation:
5² = 25
6² = 36