Un estudiante de álgebra ha ganado $100,000 en una lotería y desea depositarlos en cuentas de ahorros en dos instituciones financieras. Una cuenta paga 8%de interés simple pero los depósitos se aseguran sólo a $50,000. La segunda cuenta paga 6.4% de interés simple y los depósitos se aseguran hasta $100,000 determine si el dinero se puede depositar para que quede completamente asegurado y gane un interés anual de $7,500
Answers
Answer:
Si puede asegurarse, ya que la inversión en la cuenta bancaria que da un 8% anual, es menor a 100 000 y mayor que 500 000.
Step-by-step explanation:
Ci= 100 000 $
Cuenta #1 = 8% de interés simple. con depósitos de 50 000$.
La segunda para 6.4% con interés simple para depósitos de 100 000$
Determine si el dinero se puede depositar para que fenere un interés de 7500
7500 = C1(0.08)+C2(0.064)
C1+C2= 100 000
C2 = 100 000 -C1
7500 = C1(0.08)+(100 000 - C1)(0.064)
1100= 0.016 C1
C1= 68750$.
Related Questions
Rich also has £400 pounds invest 3% compound interest . How many years does he need to invest the money to get at least £475
Answers
Answer: 6 years
Step-by-step explanation:
Formula to calculate compound amount: [tex]A=P(1+r)^t[/tex], where P= Principal , r=rate of interest, t= time
Given: P = £400, r = 3% = 0.03 , A= 475
Required equation: [tex]400(1+0.03)^t\geq475[/tex]
[tex]400(1.03)^t\geq475\\\\\Rightarrow\ (1.03)^t\geq\dfrac{475}{400}\\\\\Rightarrow\ (1.03)^t\geq1.1875[/tex]
Taking log on both sides , we get
[tex]t \log 1.03\geq\log1.1875\\\\\Rightarrow\ t(0.0128372)\geq(0.0746336)\\\\\Rightarrow\ t\geq\dfrac{0.0746336}{0.0128372}=5.81385\approx6[/tex]
Hence, he needs to invest the money for 6 years to get atleast £475.
What is the equation of the line that has a
slope of 5 and a y-intercept of -1?
Answers
Step-by-step explanation:
y= mx+b
where m is the slope , and b is the y intercept
y= 5x -1
In the adjoining figure , APB and AQC are equilateral triangles. Prove that PC = BQ. ( Hint : [tex] \triangle[/tex]APC = [tex] \triangle[/tex]AQB, then PC = BQ)
~Thanks in advance ! ツ
Answers
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
[tex]\displaystyle 1)\text{ } \Delta APB \text{ and } \Delta AQC \text{ are equilateral triangles}[/tex] Given
[tex]\displaystyle 2) \text{ } m \angle PAB = 60[/tex] Definition of equilateral.
[tex]3)\text{ } m \angle QAC = 60[/tex] Definition of equilateral.
[tex]4)\text{ } m\angle PAB = m\angle QAC[/tex] Substitution
[tex]5)\text{ } m\angle PAC=m\angle PAB+m\angle BAC[/tex] Angle Addition
[tex]\displaystyle 6)\text{ } m\angle QAB=m\angle QAC+m\angle BAC[/tex] Angle Addition
[tex]7)\text{ } m\angle QAB=m\angle PAB+m\angle BAC[/tex] Substitution
[tex]\displaystyle 8)\text{ } m\angle PAC=m\angle QAB[/tex] Substitution
[tex]9)\text{ } PA=BA[/tex] Definition of equilateral
[tex]10)\text{ } AC=AQ[/tex] Definition of equilateral
[tex]\displaystyle 11)\text{ } \Delta PAC \cong \Delta BAQ[/tex] Side-Angle-Side Congruence*
[tex]\displaystyle 12)\text{ } PC=BQ[/tex] CPCTC
* SAS Congruence:
PA = BA
∠PAC = ∠QAB
AC = AQ
Determine whether the triangles are congruent by AA., SSS, SAS, or not similar.
Answers
Step-by-step explanation:
they are similar by AA .
plz mark my answer as brainlist plzzzz . hope this will be helpful to you.
what's the sum of 15+(-19)
Answers
-4
15+-19
15 to 19 is 4
19 is the larger than 15 so since 19 is negative your answer will also be negative
The book rack sold 24 paperbacks on Saturday, 17 of them mysteries. What percent of the books were mysteries?
Answers
Answer:
About 71% of the books were mystery books
Step-by-step explanation:
To find the percentage of something you simply divide the amounts. 17 of the 24 books were mystery so to find the percentage of mystery books you do 17 divided by 24
17/24= 0.70833333333
and round it to 71
Im dying bro help The vertices of a quadrilateral are (2, 3), (3, 8), (7, 5), and (6, 2). Draw the quadrilateral in the coordinate plane.
Answers
a) Simplify
a x b x 8
(1)
b) Simplify
y xyxy
(1)
c) Simplify fully
ex ex exexf
ex ex exfxf
(2)
Total marks: 4
Answers
Answer:
a. 8ab
b. y^3
c. e/f
Step-by-step explanation:
a; a * b * 8 = 8ab
b. y * y * y = y^3
c. we cancel out the e and f
e^4/e^3 * f/f^2
= e/f
7. Tyler works in a shoe store. Tyler earns a commission. He earns 3.5% of the amount he sells. Last
week, he sold $600 worth of shoes. How much was his commission?
Answers
His commission was: 21$
EXPLICATION:
He sold 600$ which presents 100% of his sells.
We have to find how much 3.5% of this amount.
100%—->600$
3.5%—->3.5x600/100=21$
-2(4x-1)-7=5
whats the next step in solving this equation
Answers
Answer:
Using distributive property is the next step in solving the equation
Step-by-step explanation:
-2(4x-1)-7=5
-8x+2-7=5
Answer:
The next step would be to do distributive property.
Step-by-step explanation:
-2(4x-1)-7=5
-8x + 2 - 7 = 5
-8x - 5 = 5
+5 +5
-8x = 10
/-8 /-8
x= -5/4
or
x = -1 1/4
Hope this helps and I hope u have an Amazing day!!
2 over 3 multiplied by 15
Answers
Answer:
The answer is 10.
Step-by-step explanation:
2/3 times 15 is the same as 2/3 of 15.
2/3 of 15 is 10.
So, the answer is 10.
Factor: m*(m+n)-3m*(m+n)^2
Answers
Answer:
−m(m+n)(3m+3n−1)
Step-by-step explanation:
Alfred has 21 boxes of pencils. He is dividing them equally among four students. How many boxes of pencils will each student receive? Write your answer as a decimal.
Answers
Answer:
5.25
Step-by-step explanation:
21/4 = 5.25
pls give me brainliest :)
What is 4 wholes-2/5
Answers
Answer:
18/5
Step-by-step explanation:
4−
2
5
=
4
1
−
2
5
=
4
1
+
−2
5
=
20
5
+
−2
5
=
20+−2
5
=
18
5
(Decimal: 3.6)
Answer:
18/5
Step-by-step explanation:
4 wholes equal 20/5
20/5-3/5= 18/5
25% of a population have pets. What is the probability that the next person you speak to has pets?
Answers
Answer: I d k
Step-by-step explanation:
Answer:
25
explanation:
just because
Help I’m stuck on this
Answers
Did you just say you were stuck step-sis?
Answer:
it is 6,000 diffrence
Step-by-step explanation:
A certain forest covers an area of 4800 km^2 . Suppose that each year this area decreases by 5.25% . What will the area be after 6 years? Use the calculator provided and round your answer to the nearest square kilometer.
Answers
Answer:
the area after 6 years is 3,473 km^2
Step-by-step explanation:
The computation of the area after 6 years is as follows:
= Area × (1 - decreased percentage)^number of years
= 4,800 km^2 × (1 - 5.25%)^6
= 4,800 km^2 × 0.9475^6
= 3,473 km^2
Hence, the area after 6 years is 3,473 km^2
Brad has $75 in his savings account and adds $25 every month he doesn't make any withdrawals from the account which inequality shows the number of months it would take Brad to save at least $200
Answers
The inequality representing the problem will be x+3 ≥ 8
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, Brad has $75 in his savings account and adds $25 every month he doesn't make any withdrawals from the account, and saves at least $200.
Let the number of months be x,
75 + 25x ≥ 200
25(3+x) ≥ 200
x+3 ≥ 8
Hence, The inequality is x+3 ≥ 8
For more references on inequality, click;
https://brainly.com/question/28823603
#SPJ2
which scenario could be represented by the agebraic expression n- 13?
Answers
Answer:
Lucy bought a large box of M&M cookies. She bought 13 less chocolate-chip cookies.
Step-by-step explanation:
The scenario has to represent 13 less than n. The "Lucy" scenario represents this with n (M&M cookies) - 13 (less chocolate-chip cookies).
Hope it helps!
Please show work and help me please
Answers
Answer:
31.4 in
Step-by-step explanation:
the formula for circumference is 2*[tex]\pi[/tex]*radius. Since the diameter (which is the radius multiplied by 2) is labeled we can divide 10 by 2 to get the radius. 10/2 is 5. Since pi is an infinite number, we round it to 3.14. Then, plug in the numbers. The expression will be 2*3.14*5. 2* = 10 and 10 * 3.14 you can just move the decimal so the answer is 31.4.
The membership in the Lego Club decreased from 120 members in August to 82 members in October. What was the percent decrease from August to October?
Type your answer using the % key. Round to the nearest whole percentage if necessary.
Answers
Answer:
72% decrease I...guess?
120 members-60 members=50%
-70 should be approx=60%
-80 should be approx=70%
so 80 is around 70%, so I'd say 82 is 72%
I'm most likely wrong but i dunno maybe im right
Step-by-step explanation:
Answer:
32%
Step-by-step explanation:
((120 - 82) / 120) x 100 = 31.66 %
31.66% to the nearest whole percentage is 32%
Help me pls!!!
Can you factor: [tex]8x^{3} -1[/tex]
Answers
Answer:
(2x - 1) (4x^2 + 2x + 1)
Step-by-step explanation:
brainliest me pls
Answer:
[tex]\boxed{\bold{\left(2x-1\right)\left(4x^2+2x+1\right)}}[/tex]
Explanation:
Apply difference of cubes formula: [tex]\bold{x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right)}[/tex]
[tex]\bold{\left(2x\right)^3-1^3=\left(2x-1\right)\left(2^2x^2+2x+1\right)}[/tex]
= [tex]\bold{\left(2x-1\right)\left(2^2x^2+2x+1\right)}[/tex]
2² = 4
[tex]\boxed{\bold{\left(2x-1\right)\left(4x^2+2x+1\right)}}[/tex]
- zyxx
here is the question then the answers
Answers
Answer:
Domain is all real numbers.
Step-by-step explanation:
Domain is the x-values, as you see the function goes on forever on the x-axis because of the arrows.
Which expression is equivalent to 8(7m - 9p)?
Answers
Answer:
8(7m-9p) = 8(7m) - 8(9p)
= 56m - 72p
Let me know if this helps!
Answer:
56m-72p
Step-by-step explanation:
8(7m-9p) = 8*7p + 8*-9p = 56m-72p
3+2=___
4+2=___
8-8=___
Answers
Answer:
1)5
2)6
3)0
Step-by-step explanation:i subtracted
4+2=6
8-8=0
if u put up 3 fingers then put 2 more up you get 5
if u put up 4 fingers then put up 2 more u get 6
if u put up 8 fingers and take 8 away u have 0 fingers left
Can you solve for a, b and c?
20 – 3b = -5
4a + 3b = 17
50 - 2a = 1
Answers
Answer:
c = 1 , a = 2, b = 3
Step-by-step explanation:
NEED ANSWERS WILL MAKE BRAINLIEST!
Answers
Answer:
1
-4
none
none
6
3
min
2
-5
-2
max
-1
0
-5
none
none
Step-by-step explanation:
f(4) is just asking what the y value is when x=4 which is 1
f(-3) = -4
This has no minimum or maximum because the range is all real numbers (the y value goes to infintiy and negative infinity)
f(3)=6
f(0)= 3
This has a minimum because the lowest y value possible is not infinity (it's 2)
f(1)= -5
f(4)= -2
max= -1
f(-1)= 0
f(6)= -5
none
none
solve the inequality for x
-x+23<2-2(x-8)
Answers
Answer:
inequality form: x<-5
Step-by-step explanation:
Can you guys figure out the linear function for this table, please?
Answers
Answer:
y = 6x + 10
Step-by-step explanation:
This is because the slope is 6 and the y intercept is 10, therefore the answer is y = 6x + 10
The blue dot is at what value on the number line?
3
Answers
Answer:
-3
Step-by-step explanation: