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
zhuklara [117]
3 years ago
9

Could someone help me understand how to solve this?

Mathematics
1 answer:
monitta3 years ago
8 0

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula I=P\cdot r\cdot t, where

I = interest

P = principal

r = rate (as decimal)

t = time.

<u>4% account:</u>

P_1=x\\ \\r_1=0.04\\ \\t_1=1,

then

I_1=x\cdot 0.04\cdot 1=0.04x

<u>5% account:</u>

P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,

then

I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)

You have earned $69.50 in total, so

I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950

Amount in 4% account: $550

Amount in 5% account: $950

You might be interested in
7&gt;-4; subtract 7 from both sides
motikmotik

Answer:

The end result would be 0>-11

Step-by-step explanation:

Subtract 7 from each number and then just write it again.

7 - 7 = 0

-4 - 7 = -11

0>-11

5 0
3 years ago
If 2k - 3 = 9 (k+7)-3 then k is ????
m_a_m_a [10]

Answer:

k= -9

Step-by-step explanation:

2k-3=9k+63-3     [expand the 9(k+7) first]

2k-9k=63-3+3     [put the like terms together]

-7k=63                 [do the simple math]

k= 63 ÷ by -7

k=-9  

4 0
2 years ago
Read 2 more answers
What is the reciprocal of 159?
wariber [46]
<h2>Hey there! </h2>

<h2>The Reciprocal of 159 is:</h2>

\frac{1}{159}

{where \: 1 \: is \: hidden}

<h2>Hope it help you </h2>
5 0
3 years ago
In parts ​(a) through ​(e)​ below, mark the given statement as True or False. Justify each answer. All vectors are in set of rea
Oxana [17]

Answer:

(c)

"The given statement is true, by definition of length of a vector v, ||v|| = \sqrt{v\bullet v}"

Step-by-step explanation:

(a) v  \bullet v = || v ||^2

That is completely correct Remember that if  v = (x_1,x_2,x_3)\\ then

v \bullet v = x_1*x_1+x_2*x_2+x_3*x_3 = x_1^2+x_2^2+x_3^2 = ||v||^2

Therefore the correct answer would be (c).

"The given statement is true, by definition of length of a vector v, ||v|| = \sqrt{v\bullet v}"

5 0
3 years ago
What is the difference between domain and range?
alekssr [168]

Domain: all x values between the ends of a line on the x- axis

Range: all y values between the ends of a line on the y-axis

4 0
2 years ago
Other questions:
  • A jar of sweets contains 5 yellow sweets, 4 red sweets, 8 green sweets, 4 orange sweets and 3 white sweets. Ola chooses a sweet
    11·1 answer
  • What is formula of sec(A+B)​
    12·1 answer
  • A public health researcher wishes to study the dietary behavior of residents in Durham County. The researcher randomly contacts
    9·2 answers
  • Find the Value of X<br><br>a.) x=5<br>b.)x=13<br>c.)x=37<br>d.)x=73
    9·1 answer
  • Find the circumference of each circle D =6ft
    8·2 answers
  • Hi, Is anyone willing to take my AP Calc quiz for me? I’ll pay!!! <br><br><br> Thank you.
    6·1 answer
  • Which of the following is a polynomial?
    6·1 answer
  • Miguel has a total of 27 dimes and nickels. The total value of the coins is $1.80. How many dimes and nickels does he have?
    13·1 answer
  • I don't know if this is correct but is A the correct answer?
    11·2 answers
  • Suppose that Upper X has a discrete uniform distribution f left-parenthesis x right-parenthesis equals StartLayout left-brace1st
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!