Find four consecutive integers whose sum is 290.

2 answers:

8 0

For an instance, n is the smallest number, then the other number will be (n + 1), (n + 2), (n + 3)

Write an equation based on the problem
the sum of the numbers = 290
n + n + 1 + n + 2 + n + 3 = 290
4n + 6 = 290
<em>This is the equation</em>

Solve the equation
4n + 6 = 290
4n = 290 - 6
4n = 284
n = 284/4
n = 71
The smallest number is 71

Find the other three numbers
n + 1 = 71 + 1 = 72
n + 2 = 71 + 2 = 73
n + 3 = 71 + 3 = 74
The other numbers area 72,73,74

jarptica [38.1K]4 years ago

3 0

n = number

(n + 1) + (n + 2) + (n + 3) + (n + 4) = 290

⬇️

4n + 10 = 290

4n = 280

n = 70

⬇️

70 + 1 = 71
70 + 2 = 72
70 + 3 = 73
70 + 4 = 74

⬇️

The numbers are 71, 72, 73, and 74

You might be interested in

A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.1%. How m

pickupchik [31]

$3,660

The formula is P*R*T and that stands for principal * rate * time (in years). When you use the formula and plug in all of the numbers, you get the answer $3,660.

Hopefully this helps!
-Coconut;)

3 0

3 years ago

Suppose you have $2,000 to invest. In 4 years, you would like to purchase a new car and want a down payment of $3,500. What inte

Blababa [14]

Answer:

Rate = 14.07%

Step-by-step explanation:

$A= P(1+\frac{r}{n})^{nt}$

A= 3500

P= 2000

n = 12

t = 4

$3500= 2000(1+\frac{r}{12})^{4 \times 12}\\\\\frac{3500}{2000} = (1+\frac{r}{12})^{48}\\\\\frac{7}{4} = (1+\frac{r}{12})^{48}\\\\1.75 = (1+\frac{r}{12})^{48}\\\\\sqrt[48]{1.75} = (1+\frac{r}{12})\\\\\sqrt[48]{1.75}-1 = \frac{r}{12}\\\\0.01172688 = \frac{r}{12}\\\\r = 0.01172688 \times 12 = 0.14072267\\\\r \% = 14.07%$