1. What is the difference between
checking account and a savings
account?
a
Answer: A checking account is the account you take money out of. A savings account is where you put money to save it.
Step-by-step explanation:
Omar wants to open an account for his grandchildren that he hopes will have
$80,000 in it after 20 years. How much must he deposit now into an account
that yields 1.75% interest, compounded monthly, so he can be assured of
reaching his goal?
Using compound interest, it is found that he must deposit $56,389.
Compound interest:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
Hopes to have $80,000 in 20 years, thus [tex]t = 20, A(t) = 80000[/tex].Interest rate of 1.75%, thus [tex]r = 0.0175[/tex].Compounding monthly, thus [tex]n = 12[/tex]The investment is of P, for which we have to solve.Then:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]80000 = P(1 + \frac{0.0175}{12})^{12(20)}[/tex]
[tex]P = \frac{80000}{(1 + \frac{0.0175}{12})^{12(20)}}[/tex]
[tex]P = 56389[/tex]
He must deposit $56,389.
A similar problem is given at https://brainly.com/question/25263233
5.3g + 8 = 3.3g + 20
Answer:
g = 6
Step-by-step explanation:
Step 1: Subtract 3.3g from both sides.
Step 2: Subtract 8 from both sides.
Step 3: Divide both sides by 2.
(hope this helps) :)
[tex]Evaluate: \sqrt{ \frac {1 - sin(x)}{1 + sin(x)}} \\ [/tex]
Solve this problem please..
[tex]\large\underline{\sf{Solution-}}[/tex]
We have to evaluate the given expression.
[tex] \rm = \sqrt{ \dfrac{1 - \sin(x) }{1 + \sin(x) } } [/tex]
If we multiple both numerator and denominator by 1 - sin(x), then the value remains same. Let's do that.
[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)][1 - \sin(x) ]}{[1 + \sin(x)][1 - \sin(x) ]} } [/tex]
[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{1- \sin^{2} (x) } } [/tex]
We know that:
[tex] \rm \longmapsto { \sin}^{2}(x) + \cos^{2}(x) = 1[/tex]
[tex] \rm \longmapsto \cos^{2}(x) = 1 - { \sin}^{2}(x)[/tex]
Therefore, the expression becomes:
[tex] \rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{\cos^{2} (x)}} [/tex]
[tex] \rm = \dfrac{1 - \sin(x)}{\cos(x)}[/tex]
[tex] \rm = \dfrac{1}{\cos(x)} - \dfrac{ \sin(x) }{ \cos(x) } [/tex]
[tex] \rm = \sec(x) - \tan(x) [/tex]
[tex] \sqrt{ \frac{ \cos(n) }{1 + \: \sin(n) } } [/tex]
see the attachment!!
hope it helps
#carryolearning
How do I convert 1 5/6 into a decimal??????
Answer:
1.8(3) (three is a repeating number)
Step-by-step explanation:
Divide the numerator from the denominator. Add the value of the integer part.
Answer:1.83
Step-by-step explanation:
so the 1 that's a whole number and 5 out of 6 should be around 82-85 but for real its 1.83 but its a repeating decimal so its like 1.83333
if you purchesd a $49.00 gift and you use a 20% off coupon how much do you spend
Answer:
$39.20
Step-by-step explanation:
$49 * (1-.2) = $39.20
Can someone actually help and not delete their answer I rlly need your help I’ll make u brainliest or whatever
Answer:
p = -30 + 20
Hope this helps!
What is the volume of a hemisphere with a diameter of 56.7 in, rounded to the nearest tenths of a cubic inch?
Answer: In ^3
Step-by-step explanation: V = (1/2) (4/3) π(d/2^3
Plug in
d = 56.7 in
and get V in units of in^3.
There are 4 squares and 10 circles. What is the simplest ratio of squares to circles?
Answer:
2.5
Step-by-step explanation:
Jayla reads 35% of her book over 7 days. If Jayla reads the same number of pages each night, how many more days will it take her to finish her book?
Answer:
13 days
Step-by-step explanation:
Amount of book left = 100% - 35% = 65%
If 35% requires 7 days,
65% requires x days.
Using the 'cross the heart' or 'cross multiplication' method:
35x = 7 * 65
x = (7 * 65)/35
= 455/35
= 13
Hence, it would take 13 more days to complete the book.
Hope this helps and be sure to have a great time ahead at Brainly! :D
PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS OR WILL BE REPORTED.
False
Like terms have the same literal coefficients but can have different Numerical Coefficients
Hope this helped you- have a good day bro cya)
Answer:
False
Step-by-step explanation:
Like Terms:
Two or more terms that have the same literal coefficients are called Like Terms. Like terms can have different Numerical Coefficients, but not literal coefficients. ... -13p2q2 and 13 p2q2 are Like terms as only the numerical coefficients are different but the literal coefficients are same
What is 5( x - 3 ) = 5x - 15?
[tex]\tt5( x - 3 ) = 5x - 15 \\ \tt5x - 15 = 5x - 15 \\ \tt5x - 5x = - 15 + 15 \\ \tt\bcancel{5x} - \bcancel{5x} = \bcancel{- 15} + \bcancel{15} \\ \boxed{\tt0 = 0}[/tex]
The answer is 0.LHS = RHS, hence verified.Value of x (substitute 0 in the place of x).
[tex]\tt5( (0) - 3 ) = 5(0) - 15 \\ \tt0 - 15 = 0 - 15 \\ \tt \boxed{\tt -15 = -15}[/tex]
So, value of x is 0.Complete the proportional relationship table by filling in the blank sections. Dalia swims 2 pool laps every 3 minutes.tions. A runner runs 5.5 miles per hour.
Answer:
2/3
Step-by-step explanation:
Answer: 2/3
Step-by-step explanation:
i took the k12 test
sorry if its wrong but i think its right at least it was for me
Fill in the blank statement to make it true. -3 x _ =12
The length and breadth of a rectangles are in the ratio 8:5. If its perimeter is 104cm, find the length of the rectangle
20.8 cm
so sorry if incorrect :(
i need help with this im not very good at math.
Answer:
p = 10.9
Step-by-step explanation:
identify an equation in point-slope form for the line perpendicular to y= 4x - 9 that passes through (-5, 3)
Hello there!
The slopes of perpendicular lines are opposite reciprocals. It means we take the slope of the given line, flop it over and make it negative.
And then just plug in the points:
y-y1=m(x-x1)
y-3=-1/4x-(-5)
y-3=-1/4x+5
Hope this helps!
~Just a joyous teen
[tex]GraceRosalia[/tex]
what is the circumference of a circle that has a diameter of 15m?
a.) 47.1m
b.) 23.55m
c.) 94.2m
d.) 50.3m
Answer:
47.1
Step-by-step explanation:
c=pie d
c=3.14×15
47.1
Answer:
Step-by-step explanation:
So, as you know u got a the diameter.
-Given:
d = 15.
circle (Pi) = 3,14159265359 (But we use always 3.14)
Find: we need to find circumference.
C=Pi * d = 3,14 * 15 = 47,1m.
I hope this answers your question, sir.
Please help me in transformations
Answer:
A
Step-by-step explanation:
Answer:
Reflection over y = 1
Step-by-step explanation:
tbh ive fogotten how to do all of these so plz helpppppppppp
Answer:
16.26°
Step-by-step explanation:
Start by labelling the given sides of a triangle as either adjacent, opposite or hypotenuse side.
• Adjacent side: side on which the right angle and angle of interest lie
• Opposite side: side facing the angle of interest
• Hypotenuse side: side facing the right angle
In this case, the side with '24' is the adjacent side while the side with '7' is the opposite side.
Given these two sides, we use tangent to find the unknown angle.
[tex]\boxed{ \tanθ = \frac{opp}{adj} }[/tex]
[tex] \tanθ = \frac{7}{24} [/tex]
Tasking the inverse of tangent on both sides:
[tex]θ = \tan^{ - 1} ( \frac{7}{24} ) [/tex]
θ= 16.260° (3 d.p.)
Thus, the second option is correct.
Notes:
[tex]\boxed{ \sinθ = \frac{opp}{hyp} }[/tex]
[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]
If you have a collection of 20 items, how many different groups of 8 can you create?
Answer:
you can create 2 groups of 8 and you will have a group of 4 left
Step-by-step explanation:
Need help ASAP
16. What is f(-1)
Answer:
y = 0
Step-by-step explanation:
READ THE GRAPH. If X = 1, then Y = 0. have a nice day
Answer:
f(- 1) = 3
Step-by-step explanation:
locate x = - 1 on the x- axis, go vertically up to meet the graph at (- 1, 3 ) , so
when x = - 1, then y = 3 , that is
f(- 1) = 3
Find 6.8x1.9 using partial products. Draw an area model to show the partial
products.
Answer: i do not now this one
Step-by-step explanation:
Jenna bought a package of 3 chicken drumsticks. If the package weighed 0.399 kg,
what is the average weight of each drumstick?
3/8 times 1/2
Help me please! I’ll give the first answer Brainiest and five stars the second one will get 4 stars ⭐️ ⭐️⭐️
Step-by-step explanation:
[tex] \frac{3}{8} \times \frac{1}{2} [/tex]
3×1= 3
---
8×2=16
thus your answer is
[tex] \frac{3}{16} [/tex]
Hope this helped you- have a good day brocya)
Answer:
[tex]\frac{3}{16}[/tex]
Step-by-step explanation:
Hey there,
[tex]\frac{3}{8} *\frac{1}{2} \\[/tex]
[tex]\frac{3*1}{8*2}[/tex]
[tex]\frac{3}{16}[/tex]
Hope this helps you.
Let me know if you have any other questions:-)
Please help
Which of the following is equivalent to the expression below?
Answer:
2x2x2 or 2x2x2x2
Step-by-step explanation:
because thats the answer
[tex]The \: value \: of \: \sqrt{6 + \sqrt{6 + \sqrt{6} + .......... \: to \: \infin } } \: is \: \underline{ \: \: \: \: \: \: \: \: \: \: \: .}[/tex]
CORRECT EXPLANATION WILL BE MARK AS BRAINLIEST.
[tex]\large\underline{\sf{Solution-}}[/tex]
Let us assume that:
[tex] \sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } } [/tex]
We can also write it as:
[tex] \sf \longmapsto x = \sqrt{6 + x } [/tex]
Squaring both sides, we get:
[tex] \sf \longmapsto {x}^{2} =6 + x[/tex]
[tex] \sf \longmapsto {x}^{2} - x - 6 =0[/tex]
By splitting the middle term:
[tex] \sf \longmapsto {x}^{2} - 3x + 2x - 6 =0[/tex]
[tex] \sf \longmapsto x(x - 3) + 2(x - 3 ) =0[/tex]
[tex] \sf \longmapsto (x+ 2)(x - 3 ) =0[/tex]
Therefore:
[tex] \longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}[/tex]
[tex] \sf \longmapsto x = - 2,3[/tex]
But x cannot be negative.
[tex] \sf \longmapsto x = 3[/tex]
Therefore, the value of the expression is 3.
[tex]\large\underline{\sf{Verification-}}[/tex]
Given:
[tex]\sf\longmapsto x=3[/tex]
We can also write it as:
[tex]\sf\longmapsto x = \sqrt{9}[/tex]
[tex]\sf\longmapsto x = \sqrt{6+3}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{9}}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}[/tex]
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}[/tex]
This pattern will continue.
[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}[/tex]
is 3.2128 rational or irrational
3.2128 is a rational number because you can not make it into a fraction/ratio
What is the area of the trapezoid if the bottom base is 4x-5 and the top is 6x+3 with both sides being -5x+10?
Step-by-step explanation:
Area=(a+b)/2 x h
a=6x+3
b=4x-5
h=-5x+10
Area= -25x^2+55x-10
How much are US dollars worth in Japan
Answer:
A US dollar is worth almost 114.34 Yen in Japan.
Step-by-step explanation:
( Yen is the currency they use in Japan )
Answer:
1 us dollar = 114.30 Japanese Yen
100 us dollars = 11430.65 Japanese Yen
Step-by-step explanation:
hope this helps