1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
balandron [24]
2 years ago
7

Hamad invested 5000 AED in an account that pays 5% annual interest.

Mathematics
1 answer:
Andrei [34K]2 years ago
5 0

Answer:

About 33 years.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

Simple Interest Rate Formula: \displaystyle A = P(1 + r)^t

  • <em>P</em> is principle amount
  • <em>r</em> is rate
  • <em>t</em> is time (in years)

Logarithm Property 1: \displaystyle log(a^x) = xloga

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em>P</em> = 5000

<em>r</em> = 5% = 0.05

<em>A</em> = 25000

<em>t</em> = unknown

<u>Step 2: Solve for </u><em><u>t</u></em>

  1. Substitute in variables [Simple Interest Rate Formula]:                                 \displaystyle 25000 = 5000(1 + 0.05)^t
  2. [Division Property of Equality] Divide 5000 on both sides:                          \displaystyle 5 = (1 + 0.05)^t
  3. (Parenthesis) Add:                                                                                            \displaystyle 5 = (1.05)^t
  4. [Equality Property] log both sides:                                                                  \displaystyle log5 = log[(1.05)^t]
  5. Rewrite [Log Property 1]:                                                                                  \displaystyle log5 = tlog1.05
  6. [Division Property of Equality] Isolate <em>t</em>:                                                          \displaystyle \frac{log5}{log1.05}  = t
  7. Rewrite:                                                                                                             \displaystyle t = \frac{log5}{log1.05}
  8. Evaluate:                                                                                                           \displaystyle t = 32.9869
You might be interested in
Solving systems of equations using substitution p=q+2<br> 4p+3q= -27
GREYUIT [131]
Ok, so you are given the value of P=q+2

The substitution method tells us that we must insert the value we know, into the second equation, 4P+3q= -27


Doing so will give us 4(q+2)+3q= -27

For right now, lets just focus on the first part, 4(q+2)

We can simplify this by distributing(multiplying) the 4 to whats inside the variables.

This will give us 4q+8

now lets add this back to the rest of the equation >>>  4q+8+3q = -27

We can further simplify by adding like terms >>> 7q+8 = -27

subtract the 8 from both sides >>> 7q = -35

now divide both sides by 7 >>> q = -35/7

Therefor q = -5

EDIT* 

now that we know q = -5 we can put q into the equation for P !

we know that p=q+2

so lets put q in now >>> p=(-5)+2

and simplify>>> p = -3

I hope this helps:)
6 0
3 years ago
Calculate the length b to two decimal places.
Andrej [43]

Answer:

B. 21.64

Step-by-step explanation:        

We have been given a triangle and we are asked to find the length of AC (b).

We will use law of cosines to find the length of side AC.

c^{2}=a^{2}+b^{2}-2ab \text{ cos }\theta

Upon substituting our given values in the formula we will get,

(AC)^{2}=15^{2}+12^{2}-2\times 15\times 12 \text{ cos}(106)  

(AC)^{2}=225+144-360\text{ cos}(106)      

(AC)^{2}=369-360(-0.275637355817)      

(AC)^{2}=369+99.22944809412    

(AC)^{2}=468.22944809412

Upon taking square root of both sides of our equation we will be get,

AC=\sqrt{468.22944809412}

AC=21.6386101238993629\approx 21.64  

Therefore, the length of b is 21.64 and option B is the correct choice.

6 0
3 years ago
Given the equation 2 square root x-5=2 solve for x and identify if it is an extraneous solution
umka2103 [35]
<span>2√(x-5) = 2
</span><span>√(x-5) = 1
</span>x-5 = 1
x=6(I don't know what extraneous solution means though)
7 0
2 years ago
Read 2 more answers
Find the sum of the even integers between 21 and 45
Vika [28.1K]
22+24+26+28+30+32+34+36+38+40+42+44= 396
6 0
3 years ago
Read 2 more answers
In order for RECT to be a rectangle, what must the value of x be?
Readme [11.4K]

Answer:

x = 21

Step-by-step explanation:

If RECT is a rectangle, each of its interior angles are right angles, 90°. Since ∠RTC is split into two angles, the sum of the two angles must be 90°. (Angles that add to 90° are called complementary angles).

∠RTC = ∠RTE + ∠ETC     Formula for complementary angles

90 = 2x + 6 + 42                Substitute the angles

90 = 2x + 48               Combined like terms to simplify

Now isolate "x" to solve

90 - 48 = 2x + 48 - 48         Subtract 48 from both sides

42 = 2x

42/2 = 2x/2       Divide both sides by 2

x = 21

Therefore x is 21.

6 0
3 years ago
Other questions:
  • A rectangular field that measures 32 feet by 14 feet must be increased by a
    11·1 answer
  • Conversions <br>30qt=__gal __qt
    5·1 answer
  • The quotient of twice a number t and 12
    14·1 answer
  • When a number is added to six times its square, the result is twelve. Find the number.
    14·2 answers
  • Solve the equation s = a + lw for<br> the variable w.<br> Pls help quick, full explanation!
    8·1 answer
  • Can someone help me with this?
    8·1 answer
  • The probability that a person in a certain town has brown eyes is 2 out of 5. A survey of 450 people from that same town was tak
    9·2 answers
  • S (SOA) An annuity pays 1 at then end of each year for n years. Using an annual effective interest rate of i, the accumulated va
    13·1 answer
  • Evaluate g(t) for the given values of t. <br><br>g(t)=|17-t|<br><br>A)g(11)=<br>B)g(12)=
    11·1 answer
  • What is the answer to all of these
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!