Answer:
R = 6%
Step-by-step explanation:
We know that
SI = A - P
SI = 3540 - 3000
SI = $540
R = 100 × SI/P × T
R = 100 × 540/3000 × 3
R = 54/9
R = 6%
S O L U T I O N:
Here we've been provided with the information i.e
Amount (A) = 3540Principal amount (P) = 3000 Time period (T) = 3 yearsAnd we are asked to calculate simple interest rate (R) = ?
The standard formula to calculate is given by,
[tex]:\Rrightarrow\sf{S.I. = A - P}[/tex]
[tex]:\Rrightarrow\sf{S.I. =3540 - 3000}[/tex]
[tex]:\Rrightarrow\sf{S.I. =540}[/tex]
[tex]:\Rrightarrow\sf{R = 100 \times \frac{S.I.}{P} \times t}[/tex]
[tex]:\Rrightarrow\sf{R = 100 \times \frac{540}{3000} \times 3}[/tex]
[tex]:\Rrightarrow\sf{R = \frac{54}{9} }[/tex]
[tex]:\Rrightarrow\sf{R = 6\%}[/tex]
The simple interest is 6%.Which describes the probability of tossing an odd number greater than 5 on a number cube with faces labeled 1-6? certain, unlikely, likely, impossible
Answer:
impossible
Step-by-step explanation:
a cube with faces labeled 1-6 does not have an odd number greater than 5
Plz help me NOW and I will mark you brainliest
Answer:
Translate from words to mathematical equation.
"n is m% of what?"
m% = m/100
what = a variable ... "x". for example.
"is" means "="
"of" means multiply
n = (m/100)•x
please help ill mark brainliestO
Answer:
Yes triangles ACB and FGC are similar using AA.
(Please don't hate if it's wrong)
solve the inequality 2x+2-6x<32
x>−15/2
15/2 is a fraction
Help fast !!! I have like 5 minutes left
Answer:
y-intercept = (0,3)
Step-by-step explanation:
Which number is a factor of 15 but no a multiple of 3?
Answer: 5
Step-by-step explanation:
A line segment has endpoints at (3, 5) and (6, 1)
What is the x-coordinate of the midpoint?
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{6+3}{2}~~,~~\cfrac{1+5}{2} \right)\implies \left( \cfrac{9}{2}~~,~~\cfrac{6}{2} \right)\implies \left(4\frac{1}{2}~~,~~3 \right)[/tex]
Half a number is subtracted from 7 results in 34
Answer:
[tex]-54[/tex]
Step-by-step explanation:
If the number being halved is x, we can write the expression
[tex]7-0.5x=34[/tex]
Now, bring like terms and solve!
[tex]-0.5x=27[/tex]
Multiple both sides by -2 and you get
[tex]x=-54[/tex]
Wanna check the answer? Well...
[tex]7-(-54*0.5)=7+27=34[/tex]
1. As a diver descends, the pressure in the water
a
increases by about 0.455 pound per square
inch
(psi) for each foot of descent. This can be
modeled by the equation P = 0.455d + 14.3,
where P is the pressure in pounds per square
inch and d is the depth in feet.
Use a graphing calculator to graph the model.
(a)
Sketch the graph showing d (horizontal axis
representing depth )and P (vertical axis
representing the pressure).
Plotting the graph using geogebra online graphing tool and attaching.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let P represent the pressure in pounds and d represent the depth in feet.
Given the equation:
P = 0.455d + 14.3
Plotting the graph using geogebra online graphing tool and attaching.
Find out more at: https://brainly.com/question/13911928
A person requests an immediate bank overdraft of $2000. The
bank generously agrees to this but insists that it should be repaid
by 12 monthly instalments and charges 1% interest every month
on the outstanding debt. Determine the monthly repayment
The monthly repayment for the given principal and rate of interest is $168.3.
Given that, a person requests an immediate bank overdraft of $2000.
What is the rate of interest?An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.
Here, P=$2000, T=12 months = 1 year and r=1%
Now, interest = (2000×1×1)/100
= 20
Total amount = 2020
So, monthly instalment = 2020/12
=$168.3
Therefore, the monthly repayment for the given principal and rate of interest is $168.3.
To learn more about the rate of interest visit:
https://brainly.com/question/28236069.
#SPJ5
How much power does it take to lift a 40N object. 8 meters high in 3 seconds. Show work 8)
Answer:
Step-by-step explanation:
power = work / time
work = force x distance
force = newtons
w = fd
w = 40N(8m)
w = 320J
p = w/t
p = 320J/3s
__
p = 106.66
(sixes repeat)
the number obtained on rationalizing the denominator of 1/(√7--2) is
[tex] \frac{1}{ \sqrt{7} -(- 2)} \\ rationalizing \: \: \: the \: \: \: denominator \: \: \: we \: \: \: have \\ = \frac{1}{ \sqrt{7} + 2 } \times \frac{ \sqrt{7} - 2}{ \sqrt{7} - 2} \\ = \frac{ \sqrt{7} - 2}{ {( \sqrt{7} )}^{2} - {(2)}^{2} } \\ = \frac{ \sqrt{7} - 2 }{7 - 4} \\ = \frac{ \sqrt{7} - 2}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Given that:
1/(√7 - 2)
The denominator is (√7-2).
We know
The rationalising factor of (√a-b) is (√a+b)
Therefore, the rationalising factor of √7-2 is √7+2.
On rationalising the denominator them
⇛[1/(√7-2)]×[(√7+2)/(√7+2)]
⇛[1(√7+2)]/[(√7-2)(√7+2)]
Since, (a-b)(a+b) = a²-b²
Where, a = √7 and b = √2.
⇛[1(√7+2)]/[(√7)²-(2)²]
⇛[1(√7+2)]/[(√7*7)-(2*2)]
⇛[1(√7+2)]/[7-4]
⇛[1(√7+2)]/3
⇛(√7+2)/3
Hence, the denominator is rationalised.
also read similar questions:
1
If f(x) = -3x-2, find f(-7)
Answer:
19
Step-by-step explanation:
f(x)= -3x-2
f(-7)= -3(-7)-2
= 21 - 2
= 19
hope this helps! :D
I need help with pre calculus.
Question 1
Answer: Choice A) -7-----------------
Explanation:
To compute f(g(2)), we'll first need to find g(2).
Locate 2 in the x row. Then read straight down until you get to the g(x) row. You should find that g(2) = 4
This means f(g(2)) becomes f(4). We then repeat the same process as before. Locate 4 in the x row, read straight down til you get to the f(x) row to find that f(4) = -9
Overall, we can say f(g(2)) = -9
We do the same set of steps to compute g(f(-1)). You should find that f(-1) = -1 and g(f(-1)) = g(-1) = -2
Lastly, we subtract the results we got:
f(g(2)) - g(f(-1)) = -9 - (-2) = -9+2 = -7
==============================================
Question 2
Answer: Choice B) 0-----------------
Explanation:
If you were to graph each equation, you should get what you see below.
The red and blue curves do not intersect in any way. We need an intersection point to have a solution. Because there are no intersections, we don't have any solutions. The system is considered inconsistent.
==============================================
Question 3
Answer: Choice B[tex]-2x^2+250x-2000[/tex]-----------------
Explanation:
x = number of scooters made and sold
Each scooter costs $150 to make. If you made x of them, then it costs 150x dollars. Then tack on the fixed cost of $2000 to get the expression [tex]150x+2000[/tex]
The cost function is [tex]C(x) = 150x+2000[/tex]. We'll subtract this from the revenue function R(x) to get the profit P(x)
[tex]\text{Profit} = \text{Revenue} - \text{Cost}\\\\P(x) = R(x) - C(x)\\\\P(x) = (400x-2x^2) - (150x+2000)\\\\P(x) = 400x-2x^2-150x-2000\\\\P(x) = -2x^2+250x-2000\\\\[/tex]
==============================================
Question 4
Answer: Choice B[tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]
-----------------
Explanation:
[tex]g(x) = \frac{1}{x+1}\\\\g(f(x)) = \frac{1}{f(x)+1}\\\\g(f(x)) = \frac{1}{x^2+x-3+1}\\\\g(f(x)) = \frac{1}{x^2+x-2}\\\\g(f(x)) = \frac{1}{(x+2)(x-1)}\\\\(g\circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\[/tex]
I started with the outer function g(x) and replaced each x with f(x) in the second step. Then I plugged in f(x) = x^2+x-3 and simplified. Factoring the denominator is helpful to determine where the denominator becomes zero. Specifically, it happens when x = -2 and x = 1. These x values must be kicked out of the domain to avoid a division by zero error.
So we start off with the real number line, and poke holes at x = -2 and x = 1.
The notation [tex]x \in \mathbb{R}[/tex] means x is a real number. Then we tack on [tex]x \ne -2, x \ne 1[/tex]
Overall, the domain is [tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]
Let's see what happens if we tried plugging x = -1 into this composite function:
[tex](g \circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\(g \circ f)(-1) = \frac{1}{(-1+2)(-1-1)}\\\\(g \circ f)(-1) = \frac{1}{(1)(-2)}\\\\(g \circ f)(-1) = \frac{1}{-2}\\\\(g \circ f)(-1) = -0.5\\\\[/tex]
We don't get a division by zero error, so x = -1 is allowed. The same can be said about any other x value as long as it's not -2 and not 1 either.
nearest tenth of .6752
.7 is the nearest tenth to the number .6752 because of the 1-4 rounds down and 5-9 round up.
Answer:
Step-by-step explanation:
6750
mr karki divides a sum of Rs 180000 between his son and daughter in the ratio of 4:5 find the sum obtained by each of them
Answer:
Step-by-step explanation:
Sorry no one answered your question sooner. First Let x = what the daughter receives
Then 180000 - x is what the son will receive. Notice that if you add these together you get the total, 180000. You write a proportion and cross multiply to solve. Since x = 80000, the son will receive 80000. The daughter will receive 100000.
A ant runs 45 inches in 15 seconds, a snail crawls 12 inches in 3 seconds. Who is faster? I need help please and thank you :)
Answer:
the snail
Step-by-step explanation:
in order to find who is faster you have to find how many inches each one does in one sec
Ant= 45/15 which is 3 inches per sec.
snail=12/3 which is 4 inches per sec.
so from the above calculations we can see that according to the question given a snail crawls faster than an ant runs
I hope this helps
In need of help pls. Try and answer asap.
Answer:
Step-by-step explanation:
∠1 and 85 are supplementary
m∠1 = 180 - 85 = 95°
Jada has a new puppy that weighs 9 lb the vet says that the puppy is now about 20% of its doorway what will the adult weight of the puppy be.
satellite makes 4 revolutions of the earth in one day. How many revolutions would it make in 6 1/2 days?
A student writes down four random numbers: -20, 55, 10, -15. A second students adds one number to the set, making the average 11. What number did the second student add to the set?
Answer:
-19
Step-by-step explanation:
-20 + 55 + 10 + -15 = 30
30 - 11 = 19
-19
If 23 is added to a number, the result is 41 less than twice the number.
Answer:
x + 23 = 2x - 41
Step-by-step explanation:
I'm not too sure how to explain the correctness of the answer but I know that it's:
x + 23 = 2x - 41
Ashton is 3 times the age of Jason. Ashton is 6 years older
than Nolan. Jason is 7 years old. How old is Nolan? Explain
Answer:
nolan is 15,
Step-by-step explanation:
3*7=21-6=15
solution:
age of Jason is 7
and Ashton is 3 times age of Jason=7*3=21
Nolan age=21-6=15
therefore the age of Nolan is 15 years
HELP
please help me!! will mark whoever gets it right brainlist
(question is in image below) ⬇️
Answer:
[tex](x-6)^2=8[/tex]
Step-by-step explanation:
[tex]x^2-12x+32=4[/tex]
[tex]x^2-12x+32+4=4+4[/tex]
[tex]x^2-12x+36=8[/tex]
[tex](x-6)^2=8[/tex]
Basically, you need to add a number to both sides so that you can reduce the left side to a square. In this case, you add 4.
1[tex]\sqrt{5}[/tex]*3[tex]\sqrt{5}[/tex]
Answer:
[tex]1\sqrt5 \times 3\sqrt 5 =(1\times3)(\sqrt5\times\sqrt5) = 3\times (\sqrt5)^2=3\times 5=15[/tex]
I need help with this
a bike cost 129.90 what is your total with a tax of 5%
Answer:
so you just use the equation to get the formula and extract the common denominator
Step-by-step explanation:
because i said so
suppose we want to choose 2 colors, without replacement from 3 colors red,bule and green
HELPPPP I WILL GIVE POINTS AND BRAINLIEST
Answer:
11 mm, 21 mm, and 16 mm.
Step-by-step explanation:
since 11+21>16, 11+ 16>21>11, You can form a triangle with 11,21,16
State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible
Answer:
f) Not possible
Step-by-step explanation:
The triangles can be shown to be similar by SAS, but the corresponding sides are not marked as congruent. With the given information, it is not possible to show the triangles are congruent.
