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
lianna [129]
3 years ago
8

Collin invests 7700 in two different accounts the first paid 2% the second paid 9% in interest at the end of the first year he h

ad earned $315 in interest how much was in each account
Mathematics
1 answer:
horrorfan [7]3 years ago
8 0

Collin invested $5529 in the account paying 2% and $2171 in the account paying 9% interest.

<u>Explanation:</u>

Let x be amount invested at 2%

 

So, 7700 - x will be the amount invested at 9%

 

0.02(x) + 0.09(7800 - x) = 315

0.02x + 702 - 0.09x = 315

-0.07x = -387

x = $5529

7700 - x = 7700 - 5529

             = $2171

 

Collin invested $5529 in the account paying 2% and $2171 in the account paying 9% interest.

You might be interested in
The height of a triangle is 7 ft more than its base. If the area of the triangle is 30 ft2, what is the length of the base?
SSSSS [86.1K]

Answer:

see below

Step-by-step explanation:  5 27  7  16

area = 1/2 bh

height of a triangle is 7 ft more than its base

base = b

height = b + 7

area = 30

area = 1/2 b(h)

30 = 1/2 b(b + 7)

30 = 0.5(b²+ 7b)

30 = 1/2 b²+ 3.5b           solve for b

1/2 b²+ 3.5b = 30        

1/2 b²+ 3.5b - 30 = 0        

b²+ 7b - 60 = 0            factor

   (b +12)(b - 5) = 0    when b = -12 or 5     base length can't be negative

b = base = 5

area = 1/2 bh     1/2×2(9)     = 9

area = 1/2 bh     1/2×5(12)     = 60

area = 1/2 bh     1/2×9(16)     = 56

area = 1/2 bh     1/2×12(19)     = 114

5 0
2 years ago
Triangles ABC and EDC are outlined on a bridge. The triangles share vertex C and angles D and B are right angles. A new bridge s
dexar [7]

CHECK THE ATTACHED FIQURE FOR THE BRIDGE

Answer:

60 ft

Step-by-step explanation:

From the question we know that triangles ABC and EDC are in a 1:1 with this given ratio it implies that

triangles ABC and EDC are congruent then we can say

side EC = side AC

3x + 9 = 5x - 5

Then we can simplify to know value of x

3x + 14= 5x

2x = 14

x = 7

But we know that AC= 5x - 5 , then substitute value of x into it

AC = 5x + 5 = 5(7) - 5

= 35 - 5

AC= 30 ft

Also EC= 3x + 9 then substitute value of x into it

EC = 3x + 9 = 3(7) + 9

= 21 + 9

EC= 30 ft

Then the the distance between the top and bottom of the bridge, in feet, = EC+AC

= 30 + 30 = 60 ft

4 0
3 years ago
on Saturday Warren swims laps in the pool for 45 minutes on Sunday he runs 8 Miles it takes him 9 minutes to run each mile how l
Tju [1.3M]
Warren spends 117 minutes ( 1 hour, 57 minutes) exercising over the weekend.
4 0
3 years ago
Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below.
GaryK [48]

Answer:

Radius length: √5

Standard Form (Equation): (x + 4)^2 + y^2 = 5

Step-by-step explanation:

First we will determine the radius;

Center: (-4, 0)

Point on Circumference: (-2, 1)

d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2

= √4 + 1 = √5

Therefore the radius is of length √5

Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.

6 0
2 years ago
Read 2 more answers
Pls helphelpepelsjjejdkdkdjf
Yuki888 [10]

Answer:

bbb

A

c

d

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • A random sample of size 21 was taken from a normal population. the sample average was 9.87 and the sample sd was 1.17. at the si
    9·1 answer
  • What is the decimal and percent of 258/300
    14·2 answers
  • Uh need a bit of help with this question
    9·2 answers
  • U over 10 = 17 over 11? Round your answer to the nearest tenth?! Solve the following proportion for U
    8·1 answer
  • A pre-image was translated twice. The first translation moved the triangle left 2 units and up 5 units. The second translation f
    5·1 answer
  • Simplify (3a²b²)²+(ab)²​
    7·2 answers
  • How many more miles per gallon does Mrs. Sanchez get than Mr. White?
    15·1 answer
  • HELP ASAP PLSSSSS SRRYY I JUST NEED ANSWER RNN:(
    15·1 answer
  • Sam has $372 and Mark has $12.26. What is the difference? Who has more?
    7·2 answers
  • Determine the constant different in this numeric pattern:5;9;13;17;21​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!